{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Copyright (C) 2016 - 2019 Pinard Liu(liujianping-ok@163.com)\n",
    "\n",
    "https://www.cnblogs.com/pinard\n",
    "\n",
    "Permission given to modify the code as long as you keep this declaration at the top\n",
    "\n",
    "用scikit-learn研究局部线性嵌入(LLE) https://www.cnblogs.com/pinard/p/6273377.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "%matplotlib inline\n",
    "from sklearn import manifold, datasets\n",
    "from sklearn.utils import check_random_state"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<mpl_toolkits.mplot3d.art3d.Path3DCollection at 0x136da290>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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JKnbv2ImjzIGmYz80Lgf6jBzsuZ04tfpXDK3SITMHbV47bCdPYN63iwqnxFWP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\nYdSYxhttdXU1i26/ib8PC2fs5FF8nVXEPbfcyLT5l3DNTVM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Oh4OYmJhuj0oEQSAiIoJY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bAAAg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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11a3cf70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_samples = 500\n",
    "random_state = check_random_state(0)\n",
    "p = random_state.rand(n_samples) * (2 * np.pi - 0.55)\n",
    "t = random_state.rand(n_samples) * np.pi\n",
    "\n",
    "# 让球体不闭合，符合流形定义\n",
    "indices = ((t < (np.pi - (np.pi / 8))) & (t > ((np.pi / 8))))\n",
    "colors = p[indices]\n",
    "x, y, z = np.sin(t[indices]) * np.cos(p[indices]), \\\n",
    "    np.sin(t[indices]) * np.sin(p[indices]), \\\n",
    "    np.cos(t[indices])\n",
    "\n",
    "# Plot our dataset.\n",
    "fig = plt.figure()\n",
    "ax = Axes3D(fig, elev=30, azim=-20)\n",
    "ax.scatter(x, y, z, c=p[indices], marker='o', cmap=plt.cm.rainbow)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x138be8f0>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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lVZxu3LjBnTt35li3av369WzerDZbtazHbdu2Pbb++fPn+dbI4Xz11X5s2CiC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\n8+aNueoeO3YMsbGxCA4OhpeXV772d+3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prv7Q4hzMP4DNq6k4Z86cLGMY9BrGfAfysKWN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Df2DWTvOAg3Kvzw3UEZLCb+cpWaIJRSzgA2AKgJ4DyAZ0mmGSm3AkAPAFdIBpWhviQIUaXMj4nB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\nTqdaEGObbAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c0d1670>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "train_data = np.array([x, y, z]).T\n",
    "trans_data = manifold.LocallyLinearEmbedding(n_neighbors =30, n_components = 2,\n",
    "                                method='standard').fit_transform(train_data)\n",
    "plt.scatter(trans_data[:, 0], trans_data[:, 1], marker='o', c=colors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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PDP0Cxi6Fx5rD6TywWCzcN/pBSpcpx38Xz8NdNYScZS/yybsQHARNukB0rIkN\na/Np3saKYcDJ4yYq1AnAHejbv7n/Q7HMHH+Qr+af4PTJPCo0CmTNv/ex7PU9YIgyDSKJrhjMh3ev\nxyoryx5cQWj5ELz5Xv57/xd4nS7emP0uys3FGunreRiGgTUqmMzMTPp07cLCu0eRmVIVnG5sT91N\n+64dS/Dq+LmUPPH88wy47jp+LijAAkwxgdkMcQ74MROqm2DE25AYDg4rbN0NlcpAQQHsPebhrbff\nokuXLlSpksCrr2RSszCUUaOG2Zicdq690fc388JrXsqGzKegoOB3e4+fPHmSRYt8O0C0a9eO4ODg\n38l58OBBPIEWKtZ0APDJW6eQKZ/P1r7M/v2n6Twogs4Dwvnmi23k5Qqb3SAvV2SmF2C1G3i94vtV\np8nLFbdPLU/6sXxeumMredlezG4zXq/IysjHZrMV/WabNm04dOAYR44cISIiAovlH/aXWVwLw4WF\n7J5ceHwjUPOM73cB3+IbmfnqPHkvhXH9HevWrZMDVKHQjc8Nug80vnDC2QGKtViUEBWlbdu2adeu\nXQqymNTIhcZEoGp2FGQxFOG0KN6BMrohXYPuTUFjGiKN9KXvbkLxAeiW2jZVq5CkzMxMrVu3Ttf2\nulqdr07VG2+8Lo/Hrq2rkA6j5PLo4WddCg031L2vVRWrmhQVHSRXgElvb66s5aqt0a8lKiDEog+9\nbTRXbXXtw+XU/ZrOys7O1pEjR9RvwI2qVqeygiIDFVwlTs7YQFk9NlndViXe21PWuDCV+2yygnuk\nKqxPS1X/foaSZt6nwIiwosnqcRMmyAgIEsHhMlesJ3douL799tsSuTaXEv7hPYg3Z85UzQoVlBgZ\nKSfopRiU7Eanuvr0d1Z9FGBFd/ZGQ/oghw2Fh1g0pLdNTWq61b5N0yJX0rp1UjT3Pyj7tC+1bWOo\nSapdx7y+ieWNu+zyeOxFE8Q7duzQe++9pzlz5iixTIyad4hU8w6RSiwTo7179/5O1qysLEVEBmnq\nojgt2l1GASFm3TujtALDLKpQzyOH26Rbx8cqtWewqjV2667JcarfOlwx8SGq1SJECRWd8oRZFRRp\nU0x5l+p2DpfNaVLVxhEaPiNFLfvEq17DmsrNzS1Wm65Zs0avvfaaVq1aVaxyisvF0O3iKvj/zGrT\nwYMHqzboJdDzoLqFRiEIX6z6SFAli0XXdO4syecWGG1B2ZWRqqJlZZHTjK6ORQ1CUeVAdLIrur8C\nurXarwb+izv2AAAgAElEQVTi82t8XiFOm0nPPPWkhg69XR6XSZNHo9nPovJlXLqh77WKjXFp6ECb\nEuNRSJihQXc71KC5RTYbioy3y+Ey5HSbFBJpUXisVe5Ai5r2TFSzaxIVHRehnTt3nlW/G27pp4oj\nWusGTdP13ldUflAzmV02peZ+KEwmVc9frqrpnyvs1i6yRoWqdKWUs/zS21zVUVRqKG6bKD7JkDFk\nitp06lZ0PD09XQPvGKLKdRupS6/rtGfPnhK5bsXln2wgJk2apFCrVSNAd4MiQNcGosFlfcZB16DM\n7r69HCqWRdPHoKdGoLZtmurZZ5/VO++8c1bEgLlz5yoqyqlHxqA2rQ15PHZFRnnU5RqzHn/Wqth4\nQ9dd10uSNG/ePIWGe9SmW7RCI23qPypUG5WsjUrWLfdH6JaBN5xT5iVLligiMkhRsW7FlrMrIMSs\nKWur61M10cyddRQQatEtj0QrINClG/v10fOTn1dGRoZSKiWp5tVReiuvs97O76KGveNUvVOs6l6T\noLLJiepzfQ89NObBIi/Fv8qjj46TyxUut7u+XK4IPfDAw8UqrzhcCQbif2a16bAhQ9S50EC8BBpT\naCDC8IUYuA0UB3JZLJJ8C9aqOQ2pqs9AtA1EU2v5bipvT9SnFGochpI8vrmHO2ugp5qhcBeaPRT9\nOAmFBlpUKtqsh25H2uxLy95CNaqV1cqVKzVx4kQFBbs0fkaQuvdzyuUxNG1NBS1XbT27qLyCI8ya\n9XMtPb24oqrWLK9//etfmjFjxu/WXnzyySeKTIxVfLca6vrTON2gaWr270GyhXmUNP5GuauVUfyU\nkaqhVaq48z8KiIvSV199VZT/iaeekTmilLhhvGjUQ6TUFePnq3qjZpJ8HiaNW7aVrXEf8eCXMnd/\nULGlk5Senl4i1644/FMNxIcffiiPyaR+Z8y1DQZFGKiMEx3p7NPlqbVQ5QS08h1UOg6N6oc6d2x+\n3nKXLl2qylXLqXItlwaNDlJMollV61p1/RCP7psUrOAQl44dO6bIqGC9vryUNipZja9y6bkPY4sM\nxHMfxqp9x2bn/Y3MzEx99dVXCg51KzLBpk/VpCiVr+VWdFyoNm7cWHT+nDlzFBzt1Ig59TRLXTVL\nXTVqXgNVbhOlVwv6KKFi5O/CevwV9u/fL7vdI3hA8KTgITkcgb97WDuTjIwMHTx48E+tCblQLoZu\nl0S47z86R8BnhmGsMwxjYDFlKRYdO3ViqdXKHnxBu+bgCwMcis89ZSjwOpCbn4/X66V+/focdQbx\n8nHYmwdbcqBeqK8sw4BG4ZBthmfawne3wKc/w0Mr4PU7oXs9+GYnZGTl06BKAcZvZJGEy+XipZcn\ncToji8eHpZOTDVUaeahUzxcgr17bQAoKYPUnJ3h+0H6GDR5F//79ufnmm8/anP2NN2dy/e23ED2q\nHc6URBY2foq0rQf5ccZyTF6D/ZMXkLnrKPvum8qW8KvYUfUGHr//QQ4cOECZStUIj0tk9IMPUDB+\nGfS8H0b9G6wubNPuottV7QDYtGkTK1asIHfQTKjYjIIej5HujmblypWX8Ir5KQ53DhhABa+XM32K\nMgBDsD8bEuZB3Mfw2E5470VoWBNG3wpvzjPRqUuf85br8Xg4lX6Yt1eEM3xcMP/5JoadW/O57cFg\nbhoeRGSMnZ07d3Ls6CmqN/TNJdRu6uKNZ05wOt3L6XQvsyZncfzYKbr0aM+LL73wizEtwul0Urdu\nXR575AlOHs7nu2VpAOzeksmerdnExSfgLQw7D/DfLz8jprKHdXMP4PX6/vjWfXiQqJRADAMsNjMF\nBQXFak+v18vChQsxmQLxxbEF8GC3R7BlyxZateqMyxVMfHwyixcvBuChR8YSHBZGqXLlSK5elf37\n9xdLhktBSYX7/u1/4C80kbTfMIwIYLFhGFsk/S42dElEc23Tpg29+/dn0rRpCIgHyuPbFP0XKxoF\nGCYTubm5BAUF8enS5Qy64TrG7thFQJiDCT+l8WbNHE7kwqRtUC0WluyG3afgaDZEBkFmDnSaCGm5\ncF07+GgpLF4DEWEQFQajJloZePvNpLZowP2T3XTqW4rV/83mzs7HsDryObo/l/BYGxuXZ5CfY+LH\nRWV5atw4+lx77pv28acnUOWtQYQ3qwhAfnoWH1d7BGdoAAVeA/PdtxPYpB5ZT08l77NlzHt/DiEh\nIaRe1YmswW9DWByMqAoh0b4CDQPcITSJsfPg/ff6rs+4J0GCvBwwW0AiO/3kFTmh92eiuf4vcywt\njeHAo/j2ArbgC3sd4IB+5WHeTsgyOXjyrmwqJfny7NoPScm16NGzF59//jmBgYHUqVMHw/j19j55\n8iRRcXbsDt93waFmPEEmMk552f1TPkcP5ZGUlESVauV5Z/JJrh8eRGoXN68/nUbz8J0YgMtjo/2g\n45StnsWLzzzK3n17mDDuqbPkf2zcI0x5eRLJ9aMY3W4TwZE20o7m0Wl0CsHRZtq0b8nGb74nJiaG\nyPBogsI9HNh+irsrfU5edgH5uaLvS3V5b8RGnARRu3Zt/ipZWVkkJVVi//6fC1tyE1AJ2Ip0krvv\nfpAtO3LxqgP79lWiY5eeJJQrxY79+6FMGSiXxPZlX9KsbRu2f7/pL8txSShO94P/odWmmZmZWr16\ntdwWixqBri4cYnKazXq+MPxAb4tFtatUUfNaNVUrqZwef2RsUdfw9OnTuqZzR9ksZjlsFjnNqEIY\nero1alnaF+kyKQpZzahi6V9dBTe+iVwOVDUJBQeiyMggxZeKVGSsWZuVWJQapEbo1kEDFBLmUrX6\nUQoND9DChQv/33qVSi6rFhueKOxYz1LKQ93VqEljDR8+XEHtWyqsYK/CCvYqNHuncDoUGB6hBx58\nSEaP0WKOfKl6G9H0WjF1mxg5S57QCO3atavoN2o1biEqtROVWorb3hCN+sodFv23CGzGP3CI6fTp\n0yodESEnKBxfBNNEkNOEDt+ONBKdGoLC3GYFBzk0epChoTeYFRUZqHnz5ikmNlT1m4WrdLlAde/Z\n8ax4Ry9MmazAEKtiS1s1eGyQho0LkctjUrmUIIWGefTJvE8k+RakVqhURoFBDrk9Dk2fMU05OTl6\n6aWX1Ora+KIho3f21pUnwHnWEMzOnTsVHObWtINt9Z466dkfUmWxGxq3sZXeUg+9pR5q1DNJ1/Tq\nKYfLIYvVotCoIFVOjVeNqxIUEORWz97d1Ci1nvoPvKnYe1K3bXuVIEQQI4gT2AQmhYVF65VXXpHJ\naVf8+IFKePZOGR6PLI3qy9ywtqhSVcaeEzIdzJDx7lzhcuudd2YVS5YzuRi6XdxHvHVAecMwSgP7\ngd7Abx9lP8K34OhdwzAaACclHTIMwwWYJaUbhuHGty7nkWLK85eYOXMmdw4ahDc/n0b5+Qwt/L4y\nMCskhH8FB3Pw8GGqVKvGttWrmOwsIM4MQx4dy5IvlvDam29y3/Ah7Nm5gxuv68O9D42hasXyrL4F\nghwwvAGUnQyNq8I9FWHFdp8bIUCACwwz/LATAgIhJTmdn37O5nS6l30/5xOXaOHUSS87t2Uyfcpw\nRt//IHv37iUlJYWwsDAOHz6M1Wrl9OnTvPLqNDKzMrmme08aNGhAeno6noAAvmw0BmtYAPE963L4\nzdW8s+gz9u/fz/SVSzFLGIaBMk6DV+R4vZhNBrbje8gBOPwzRJTGuuZ9AnasJDY2jlfnfURiYmJR\n+9WvXYPv1x4kN6YmrJuHed8GBt96C3a7vYSvpJ8LYeitt+I6fpwOQAjwb3w3b7QTIly+cwJsEOcx\nGPjg0xw6eIBwm501j93Etdd1YfAjotcAB7m5dvq3XsGbb75Jv379+Pf7/+bJiQ8x/sMyWO0mxvbZ\nSaAjhlUrlmAymUhISCAw0Df8kpSUxA/f/8SxY8cICgrCarUCYDKZMFt/7ZGYrcZZw0UA+/fvJ7ps\nEMFRPv2KrxhAcJSDU4dyAN9D77F9GWzZvZh7t3THHe5gdr/lhKTF06dnX1q/3JqEhISL1p5LlqzA\nt51Na3yj6fMBK4cP76NDj67EjRtAzIheeLNz2H3fNAIXvsmJhp2hdmOMwnpTtwHkZDP4rnvo0+fa\niyZbsSmuheH/Cfdd+HlK4fGN/BrMrCw+r6cNwPdcpnDfy5Ytk8tsVtnChUI3gj4qTM+DAkDdO3dW\nXl6eenTrqvtcFMXIfzPAt0Au2GZW/0SzljVGA8rZVa96VUUE2OR9iKL4NVUiUf82aFgXFOxBK6b5\nYi0lxqFRYyw6WuDQkm/sCglFoeGGRj8foshYszpf71J4tFlDhg46S+709HS1bN9K7mCPHB6HbG6H\ngquXUkST8vKEBWnevHnq1qeXom+4StUOfqTkpS/KEuTRhAkTlJmZqaysLJWtUlm2nlfL/eIEmWtV\nF116yhMerkOHDim2TJIs9ToLZ5Cod5Os9a5XaFTcWT2HM2Vp1KKNHCGRcgSFqX3n7srJyVFaWppu\nHninqtVpqmuvv/mK3EOCP3jKongu3BeSt4Rr63MoCDab1cJAkyyoteFz7U4NRS4LmtoKZQ5Fs69G\nAQ4UHGpRcoU43XvfCOXm5ioyKkjL9sYUxQMbMiZQox8YrbtHjZAnyKIHXi+t5aqt5aqtp+clKbV1\ngz8l3759+xQZHaKBT5XVuAWVVb1ppIYMu/2sc44dO6bQiCA9+GkDvadOuvfjegoIdqpUhXBd90xV\nNepVRiGRgXJHOuQKc6j+zSkasaarkiqVvZhNqZMnT+r999+Xb+bmccHEwlRFAQEhuvba/rIGhqrM\njFGqvmu2yr47RphNMpWv4Mtj84gXXpVxIF0MHyVCImR3B1w0+f5Ity80XZau9Z8S8BLeROnp6YoO\nDVXjwjg0SYXDSuNA/8IXsKwTvo1E2jRpopYtWmio02cclgejUBN6Oh49FY/CrWhlE1TQCUUHOFSj\nUpJurWPWlPaoUSnksqM+rdGIXijEg5x232YlJhM6ku/QwpU2XdXVolJlTHK6Udd+Lo2YEKzylV1q\n3aa51q5dq1H3jdKYsWO0e/du3TbkdlXpW1tD8x5X02c6yBkfqpqv3KzkUR1ljwxU5drV5A4OUrXD\nHxferssVMaSnrB6P7AEBmvHaa0pLS1Nq27YyBwfJmVhGrtCwolWkx44dU3LVWqL78+J5ieclc7sH\n1H/g7edsS6/Xq59//ll79+6V1+tVQUGBajdoJnvV/qLbf2WtPUJlU6peccNO57uJKIYL94Xk1WUy\nEDNmzFAI6Ehh/LCjdp97a48Y9N8mKM7l08uYEOR2o6nvefTphiA1aRmou0YOVtv2TTV0bIi2eeO0\n9lisKlQN0i0DblbleuFqdV2YbnsirshA3Dc9UR07t/rTMm7dulW9+nRVausGGjfhsbOGsH5hyZIl\niogOlctjV3RchB4e85DqNqyjStVS1KtXL3nC3bpjzbW6f/9AVepaVsmt49SkZaMLlmHHjh2aNGmS\npkyZcs4Hm+3btys8PEaGKb5weKmMYLygjcApi8UjqzVeMFs4bMJqF+5AYfWIpk+IEbnims+ExSUc\nLuFyC7tbV3Xudg5p/hp+A1FMPv74Y5V3ufQ4vo1QxoDMhQbBDgoGfQCygaq53Ro6dKhcBhrjQg2s\naFoiUh1feikB9Y5BWR1RsMumCuXi5bYhmxklhqNbO1MUJ3/2Iyg8CIUE2RQU5NC0t60KDTc0ZnqU\nnv8oVjGJFllsyB1o0gMP3KsFCxYoOCJIrcY0UJOhtRQRE65KtSrrmqW3asC+++WKDVLrjeMLR1/f\nUmK/ZgqPiVR0mUSlrJiq2lquWt5lCmjfQPYXJsq1fpVcUZHatGmTJN9ucsuXL9fRo0fPap9ajVqI\n2xcVGQiuf1MduvW+oLbdvn27XCFxYnCBGCIx2KuA+OpXXJC/PzAQf9WFO/pC8uoyGYgwj0fR+CIP\n/xKBOB4U5fQZhpoRKDURuT0oKcWkUqVNWro1WK/NDVBgqFWR0cEKj3IrKsalgEC77h41TF16tNdD\n75bXjO+rKzjCor73RqnfwzEKDfcUBcW7FHi9Xp04cUIvTJmsmPKRuvattrpqQiM5PQ61HttAEzRc\nEzRcI3/sJ3uATV9//fUFlbt+/XoFRYQq5dZWSurbRFGlYn+3cK958zYyjKsLewxPC1IK5x8qClYK\nlgrK+1xenR4xa5OYf0g4gsRIr7hbvlS+s2gzXFidqlC1hk6fPn3R2udiGIh/fLA+0xlL/oXPY2ka\nvjGyTGA8vsmRshJVqlThhv43MzETfvLC4lPw3CFIy4cgM+zKhDarwON2kBq5l1Pj4MBYOJUFFX4d\nsicpHixWJ6vWfMur02dy122i9+AQut8SRGonD0+8E0NCipOgSBtVqtRg7IQxdJzahNZjG9Dx+WZU\nvqEM+Tl5rJ2wlJlVnif3VDaWAEdR+WaXjYzTWWSln+bH9iPZM2IyP7YZTuahDCzX9sSUnIStcUM2\nbtwIQGJiIo0bNyYsLOystunasS2uzx+FE3vgyHacS54g/cRRbuw/iC+//PIP29VsNiNvPuSchMxD\nIC/Kz/ldiIUrmOK4cMdeQN4SZ9u2bWRmZBAAPJjvCyj5YD6cNCDLC/Xi4JrKsPYAfPqNh2VbArj1\nLhvDb0pn5IDT3P5kDC+tKUWH/sGER8Qx/dWZfL/5ezZu2Mj2b7IoU9nFc8uq8MNX2aye4+Lzxcto\n1KjRJauPYRgEBwczacqz9Hw7lVp9U2hxX22ia4ZxdMvJovOO/XgCDLhpYD927Njx/5Z7z8P3k/To\n1VR/5QZqvTWAsGtrMOGZX7cjz8nJ4evvN4BnLUbAS/j2hqqIYcsG7sU3HxEHDANmQZVGUKYSeIJA\n+ZC201dQfjYcXA//fYlRI4ay+dv1uFyui9dAF4Erzw+xBGnRogX5ISEszM4mIS+PVUA9fLGaGwH/\nAiKBjsCDwPgmTRg4cCDlK1XisXvvobTEyhPw3EHIFBimwh3qzRncWAe+3gulQ32urc+9B02rQ0Qw\nDJ8MVruLlJQUUlJSWLBgHvl5nxTJlZcrLFaDdn0iWbl6BQcPHaRmbOmi455YFzZrFjtX7aDld0/x\n0+SFfHX9VKo+0ZuMnw6ze/Yawp4awpH7p+CeOoG0z5eT8+VGHJ/MwXC50Kl08tdvJHHkqD9sn9H3\n3sPRY8eZMakGGCZyc3JZFtObZT8G8n6X3rz/zr/o0KHDOfMmJiYSFRHGrhmxYHZiWJ2USUmgVq1a\nxblkJUlxXbgviJJw4f6FNWvW0MwweEZiTAEMLoDdJrirGwxsCbNWwiNzoGMfM2XL+wx552usjL8v\nm9JV3HQa4FtfM3B8FJ/M2MygO2+m/3NlKZMRzOt3b2PPljwcLisHtlpY9uVCkpKSLlldzqSgwIvZ\n+uuzblytcLa8t5d3eyzEFWdnw9tbaT+rDyc2H6Vjt6vZvPEHwPdH/+6773LkyBGaN29O3bp1ATh2\n/BhBFaoDkJeRTXZ6Jmu/W8fhw4f5/PPP6X/bbRg1U4ibfB9523dz+IYxUODBZBEFuUvANgwKMsFi\ng1wv/JgO6SchIBh6DYG36kD5brBnKW5LHpt+2naW08df5ZK4cBe3C3KpE5e4G37o0CF16dhRTsOQ\nHfQy6F3Qc4VDTYCCHQ7NnTu3KE/FhHj9Nw6pvC91cyOrgcoGoFA7CnOiQDuqGY9CXchsRs+PQqVj\nUVQoqlwWtWqZqh9++EH9b+mr5i0aKiDQphFPh+vxmdEKjzGrUbdQlakcoPDYCEVWiFRMzQgN3dhX\nA5f0VECkR+7YMEV1rKmumqUu+W+rwqM9ZQ12ydOytkqvfkMV9Y1CRvSV+8n7FamfFVC9shwhIQpp\n11ruUqV0x4gRF9Q+Xq9XixcvVsPGzUTFAeJ2+VLbf6tOw5bnzTd37ly5wlNEt0PiWq+MSneraYur\nin29Ljacf4jpL7twX0heXYYhpkWLFqmCy6XdoIOFul46gqJ9SDTLNxxaJgltT/dFD37kWadiYoMV\nX86jJbm1tFy1Ne9oddnsJt08KVlz1VZz1VbDXq+silXKa/r06Tp48OBFlXvnzp16+umn9cwzz2j3\n7t2/Oz7+iXFKqB6r/p9crW5TUxUcHqQ1a9bopptuUnS1OPXdMFTDNUHDvONldzmUlpam7Oxs1Wva\nUAmtq6vi8PYKig7TW++8LUl66JGHFZ9aRe2+e1yO2AhhlJLdXlkBAaGyWt0yHB4l7vlM5fS9yul7\nBQ6+TmDxTTxbHMITJSp3EQFRwmIXIQkiKExUayxcATJK1ZTd5dGzzz57SVZQ/8L5dPvPpH90DwJ8\nKz+XL1tGG4nFwGigHL473Qa8CTxgMpGdnV2U52R6OmWDfi0j2QZRgulN4Zuj8NB6WHM3VI2Db/dB\ng2fgvU9h1hOwYSuMnAi5lh+pXacaMgowW00UeMWcN7KISXKRWDuMH9Zm4PWaKNspkTYvdmDlY1/y\nWoe5mAvMZKXlUu/zUXx9zbNk7TuOMy6U0IbJbMufT/iTI3DWqQRA3u6DGEkV8KZnoOMnmfPWWxQU\nFBAXF3fBT/JDR4zitVkfkR3SEPYuhK/HQ+3RYA8m51juefOt+WotmdHXgiMSAJUfxsZldf/UtbnM\nFMeF+9gF5C1xWrduTdWWLenwxRdUzs9nfl4eptNeTmeD2wEZ2ZCWCcnloW7pU5jMZnJyTTgdNk4c\nyGRIyy1ExNn4ZslpX7/pDO9Tm9NMXKkYbrnllosq8w8//EDTFk2o0L00Xq+YUHc8K5euIjk5GYCX\np73MM89OJP1UOgvuXEeN6tVZvOAz6tSpQ3p6Oou++oyQlHAAjm06hNlsxu12M3v2bA6Y02nw6UgM\nwyD+hgYMvmoofftcx8OjH+LY8eO8Wudx8nIqAl3IyYGcnBVgXYlhFQWHj2OOjQTDoGDfYcABFjtU\n6Q2eOFg/GdqPhbnDIaY27FmP5ef9VEouz60DbqZz586UKlXqorbVpaDYBsIwjPbAc/g8N6ZLevIc\n50zG5w6bCfSTtP5C815qdu3ahV2iHj59/xTYjK/r8Bi+UN+tMzNZvmQJvXr1AuDqqzsxbN77TA7M\nZmceTE2Ddgkw5P/YO+/wKqqtjf/m9JZKekJIAgk11BCkCIiAFFGqoqggioqKBUUUlSJ4EUWwXRsq\nzfJdBBSxoghcsF3wglKkC9KrtCSQct7vjzmEDgESwGve59lP5szsNnvWZM3ee613/WA6FJcLM5UD\nQPV4SIqAspHQ40nYvBMeGmjj82mbKNhgEB7loP97FbFY4LlbV1P7mjia9ijLzb4vSG2dRHzDslis\nFhoNvoLEpkn89tgvrMr9nfDL0vCkxvJNxb64YkI5tO8g4fd2YWP7voTe0ZG8Zb+TPeNHgp1B5L40\nnq7Xtj/lctCpsGLFCt4e9y451/wGzlBzL+HDVAhNw/PLQO4ceN8pyyYnlcOz932y/flgscH2WcQn\nFJ/teUlDUr5hGIcDBlmBtxUIGBS4/oakzw3DaBMIGJQF3Hq6shfnTo7AYrHwf9Om8cUXX7Bp0yaq\nbN3KiKcH0XQYtK0Jny0Cjwe2bjE4lGPFF2Fn2PTKWKwGz3RdxqpfDrF9i0GrvhVZ8e+dfDB4Lbs3\nH2T7uoP8+s0+xr41sdj7PHDYQOr3T6dRX/ODZna5+Tw1fAjvjn2PGTNm8MTTT9J+5vUEJQQz844v\niAmNJSMjA4BmzZrRuE4jptYdQ2StWNZ9tZI3Xn8Dq9XKrl278FaKKfQCD6oUy95df/LsqJE80vdh\n/vnCy2zdsJOpU7OP6k0ClpQk/AV5bLysF+RngcVuri0TBtU6QPOXzKxRteDHQYABO1cS5vFz7129\nGPjEo5ckw8CpcF49NQzDiunj0BzYBMw3DOOTo18GwzDaABUkpRqGUQ8zaNVlRSl7IRAbG8u+vDx2\nYNolhmNqsZuB6piK4lfMCFsHDx5k7Nix5FqsfH9QVN8DoVbIBTblwIRm8Nuf0GsuLNkM1eLMGcSW\nvfBqB+g0AHIL4PnhBUgW7Hao0yqMqg1M56GeTyfy2TubSb8ygoJcP7/P3cSOVQco3yYVm9vGwucX\ncHnNBuzfn8Pinq+z56fVpCyYwPp2ffFe3ZioQbfjSIplR7+XuatHTzpM68+aNWtI7nkvzZo1O+ux\n2b59O47QZHKcAW5+TzQWVyhJ64fx4JN9uLv3nacs2717d97718csmF0Ti7cs/LmQd7/5/Kz7cDEh\n6Qvgi+POvXHc73uLWvZSgMVioW1bM5aH3+9nyocT2bB5NT9uBJsbgpwWKtd2M/vLfG59JomKmQHZ\nHJHC8OuX8eS8poTGuGjbL42BdebwxetbaHhbKikNPAx9Zght2rQp1o3W3X/uJKHCkel6mdQQds/f\nDcBX38ygyh3ViawWDUD9YY35vNVHhXkNw+D/JnzAjBkz2LRpE3X71SU9PR0w93seHzqI2BvrEpKe\nwC+PfogzKZYBjw1h0YJfeeWVF2jRoinTpz9FXl5FwAGWediuvILc8Z9A3pXAi1CwBbgWLHshKO5I\nx70xsH8LWO1E2rNZ89sSgoKCim1cLhjOZ32K/xFTwNdfe00eh0PxoNEBZzlngMW1KigRFB0ersuq\np+sKu0WdrSjJgfx1kDJQvAv90gXpLjO1K4dcdlQxGvmcyGlHDgcKDjXUpJVDlTPcen9pJb35farC\nY2x67P2KmqFGuueVFCWm+xQc5VD1LqmKvzxRNo9dNodNdoddLdu2lK9MmGJvuEru5FhhtahK1r9V\naccM+a66TFgtcocG6/0P3pckzZo1SxVrZSgioZy6du95UnbVgwcPavbs2Zo5c+YJJna7d+9WUFi0\naP6R6JknmoxTmeiyys7OLtK4FhQUaPbs2Zo2bdolG+idvyHVxtEoKChQx44dlVrJoQeHBmvhvjgt\nPRQvp9einiNS9FlBE/UaVV7JNX2y2g2Nz+tQSGeR3jJaVw+uodfUQ6/6u6vW1eX1xhtvFGv/Xnhp\ntBVEN8kAACAASURBVJLqJOihVT3Ud/ktSqwRr9feeE2S9MyIZ5R+Q03112D112B1mHq90jOqF7nu\nd955RzafSxa3Q4bLIyzlBNfJZstUcnJFdezSxTRRtVgDznBuWa7rKFzhgvmCXYE0QGAXjlDR6Utx\ny0IRVVNWd4iGDx9eovsMp0NxyPb5CnhnYMxRv28CXj4uz3SgwVG/v8EM2NbpTGV1AV+iAQMG6HK7\nXS+BbgKlgpIxvUxfBzksFmW6HMryoK5WlOo8oiBq+dDXVx9REDUjUa+26Kd/oh1T0T9uQ6FB6N4n\nvKqe6dDrcyvoB9XUD6qpfq8mKCjcquseiZfLa1FEskflGsQo/fo0xdRLUPnWVTR+/HgdOnRItS9v\noKR3Bxb6NdgTIuWokqK4Nx5T1LC7ZJQJVccbb5BkOht5wiPEA6+LtAxhc8gdHnWMH8Kff/6pSul1\nFJRYW0FJ9ZRUoYq+++47dbvldrW55no9N3Kk7K5QYfMKDFmcIZo7d+4FeR4XCn93BSFJH374oeo1\nNp3fVilBM9fEyOZA7iCr0jKDlJwRpj5TGyimYpAa3ZyoZ39roV5v15HDY9UTi6/Va+qh19RDLfqm\n65lnninWvvn9fj0x6HFFxJRRZGyEhgwbUvgPd+/evapYraIqX11VGXddppCIEM2aNatI9S5ZskRP\nP/20bC6XHLUrC6tDMDDgET1UOMNE5Rpi6Kviyk7CVUlwnakorEGCsQHlsFMYrUXTASIkSThDFRqV\nqEcee+KkDn4XEsUh2xebzfWSQfv27XnjhRfYlpfH75hG7A2BP4AHAZvfz5qDuTxig3UCBL3XQ9tQ\ncAm6zIBHa8HmLNh4EPrVgMxKZt11K5p/nS4Dl9tg6x951Ai0u3V9LhablakvbsbmtOKLC2Hrir3k\nhcfgSivD+o/+y97We3E4HGzfvp3gGqbp4B8PvEyB4cBIqcjmR/6JrXIK7vt7Yl2zA4AZM2ZQ0KA9\nTHkRGveEx74lZ/E3XNWuPQu+n8vixYt5Z9xE1hpVye0yDgyD7K970eTK1hRU7o88Zfli0ADkLA9N\nZkDWKvz/acvoF1+hUaNGRR7XNWvW8NZbY8nNzaNbt+v/Smaufxu0a9eO50cl0vva9VStI6aOzcfl\nctL9uXK8fu8qRm9qR3Cki0pXRPFU5jf8o/k8Cg75CQkJ4f3bf+COj5uy9PONfDdmFc0GiO3btxMe\nHn5ea+1+v59p06axfv16WrVozdDBw07IExwczIIfFjBp0iQOHDhAy7ktqVSp0mnrlcScOXNo27Y9\nubnp5OenYPyxA/x+jvA2HwJ/FnwwxyRIu/YmyCgH7n3g7Ivj4Hhk7YPNOgNpA7m5v+D/91dUrFqL\nzz76hvLly5/zfV9qOF8FsQnTK+QwymI6BZ0uT0Igj70IZYELYytet25dnn35Ze6+806Un48NU6ul\nYvpFPApsx3QsCgIsBWD1wz+3wf4CsFhgcbbp93BbKIz4AJrXBqcd/vEBHMyF14ZncX0vF8/02sDa\nxTkc2Odn9kf7CIp0sn93HlbDzuZfdpN0R1NqPm8avYSO/op+gwawePFiypdN5Lch4wi9vxO7p87F\nPf87jOAg/KvXkH3ZFViXr6Pr228DpnWWsXk1HNgD7R42bzKzA3w1iroNmqCoWmTv/5OCfYvg4G5w\nl6Eg7xAkdYdqAwBQcCX49w3gCIccB7iS+fKrOXz55Ze0atXqjGO6cuVKMjIuJyvnFvx+H6+/fhVf\nfDGFxo0bF/PTKzpK6b5PhNPp5NuZP/D222+zZetm3n6zKX6/n1539UCicCPXG+ogIT2EVd/tIrJq\nBOmdyrPovVU8mTIVq8NKaqsUhowYwqBhg7Bb7bw15i26Xnf2xHOSuP7mrvy4fD7RDRIYOuppHn/o\nMfre3/eEvD6fj549e56ynsmTJ/PfRQspn5zC/PkLGTv2HfLyADpg0nGCdk0F7QX+hcmYstJk0zyY\nA/d2gx++AsflEPc5GAa5B7sQlt2JZ4Y3xefz0aFDB2w2WyHh4P8Uzmf6galg1mByzjg4M1/NZRzh\nqzljWV3gafjnn3+uSI9H94EGBJaXggN+ET8G0u2g3oHlJ5eBwq0o1Ip6pqLMODTlehThQ+mpyG5D\nVgtq28SkMajWOERBocjltSi+sk9Neybqqj7JcnisatriCiVXSVV42ShV7Nda12mcrtM4NfnmEdmj\nQhTycA+F1q2u+NTysthsstarK1/WjsJEcLBcKVXkDg3Xm2PGaP/+/UquWMWcOj/6hXg/X0zIkTUo\nUpYmT4nHZKaavUTt+8SDubJGVhNVHxY3y0xX/yLciaLxImGPEHHPibJvyhMUp6lTp55xPLt1u00Y\n7YTlBWFdLiwTVb/+VRfgSRYdlC4xnRb33NdbVS6P1/2fNFKHwdXkCXYqJNan4bl361n10dADd8rq\ntOquX29VeGqYrn6ztZ7UAPVadJtCIkO0YsWKs25z3rx5ik6L1b05T+kBDVfP9f3l8rhO2PsaP3GC\nylWqoKjEOD3Qr+8x4U8lqc9DDyq8eppih9wmT1K8rNZEwZOCCMG9geWkgYJIQZQgXOAVuIXDLUJj\nRfo9InOYCO0jKshMybvkcgef17heCBSHbJ/XDEL/Y6aAn378MZnZ2ewCZgbOHQJ2YGoxAscVgZpW\nC1WD/LySDDP3QL+1cMgKt02HBnUgIhL2HDKIK2fj2/n5RMRZeHZ2Tb59dxvvPrWOPdsOsfibHRzc\nX0D16nVYdWgblSd0I2fDLn66ZQyRTSoSnpnC4scn47u1E75bO7BXsH3sx4waOZIBQ5+i4Mf/YKlX\nl9zx70N+Pge79IOKtbnjrno8/9I/kQys4YkUvHY72Ky4Q8Owe7zsi2t45KbLNsH4pg/OVe9RrWoV\nli0bR7avAngTcS7uz6G8XfDfWyCiL0SbM5FsezRPPT2KDh06nHIs9+zZw0cfTQdlglYAw8AYwIED\nWacsU4pLDy+Oepnnnk/g61e/Ija6GuPfHsQjw/vyx49b+fndlSZ7QG4BvmgvWduyqdWrFgAxNaJJ\napzEwoULC30Wjsa8efNYvXo16enpJwTr2bFjB+Gpkdhc5hd5UNkQ7G4He/bsYcqUKSxb/hv4xT8n\nvEX6v/rgiAxm0p3v4Bj8JCOGDQdg586djBkzhorrJmELC2bvZwspWFcd8AGVMMMjNQE+woylVw6T\nGmMW2L4Cd1nYuxK6PAd7VsDCluDpAI7KOPb3o3mL1iUz4JcazlfDlHTiAn5lPfnEE6pgsSgU1BHU\nBmQPMLymgK7AjEs9GRRqtap/LNqbgb6qiDx29FhL9F53lBqFwssY+jUrTquUoLc+LyO319Czc2pq\n7Np6ymgZpTqZtTR69Gj9/PPPik0uq1bL/lE4a6g8oJ0Mm0UWj1PW8CDFL5wsIyJc3P+wjIcHyBEa\nqqtatRJen3A4hdUubHYREiE+2SmSq4uoCjIa3i1G+sVz+aLqtXIHl9Gtve6Su8q1ol+O6LtXnpTL\nNWjwU4UsrPPnz9eVrdqrboPmGv3Cy1q0aJFq1LxMxI8WNQ6KiD7CGiu7o4wmTfrwmPHLycnR+PHj\n9cILL+i+++6XzXaTTM8QCSYJIjRy5AsX7HkWBZTOIM4KWVlZio6LkivMpeajW6rJsKayeWyq0b2q\nnCFO9Vp0m57UAPXf/7Ciy0dr3rx5J9Rx//0PyeuNltebIY8nXKNGjT7m+saNGxVcJkTXft5DNy99\nQDX7NFD5yhV0Q4+bFJNZUZUGd1JYtUSFN6qkdpqkdpqkyxc8owrVKxfWsXbtWgXFR6u2f67qaJ5C\nOzQXtJQZK/ppQYLAGZhJTBU8GJhJdBQRdUXPfOGOEZ0XmMwBrT4WtjAZFreu7XCj9u7dW+Jjfb4o\nDtm+6ArgjB28gC/R9u3b5bNadRNocCA1C9B+dw6wuloDSsNuGHKAnAaygDrXQnrFTKsHIZ+bQs78\nZbnxMiyoXHKcYuLL6K57ehXSXu/Zs0cxyQm6Ys5jhQoi7Y5matj4cnmjw4XbKSMiTDS9UsZ/V8iy\n9YB4/Ck5gkNFi+tETIp4a72Ymi9a9hK1W5jUwnav6PSaeF5muvFdEVdHGQ2aqPU1nWSxO2WxOXTj\nLT21Y8cO3dz9DqXXaqQbb779BFbXuXPnyu2LEt4rha2S8A0UIZPk9sYUWjVlZ2erWrV68npbyOns\nLas1SPCMYK/gWtMMEIdeeOHlC/Y8i4JSBXH2qN+0vtr/X0cN0JMaoCd1xTPNFFwuWBjI4XOo6jVV\nFF0+Wnfcc8cJJp7Lli2TxxMm6C8YLHhADodHu3fvLszz0ccfyR3slT3ELVuQS96UKIXFRMgXGaqr\ns8apvT7Q1fvHyh7q1ZVrX9HV/n8pbVBnlUtL0apVqyRJ+fn5KptaXq5q5WWNKiNrXJTAKqezipzO\ninK5fAGFMC2gHHoLEgVxour94naJK/5PuKNFlTtEVF05vGW0cuXKCzrW54PikO2/PZvr0YiMjCS5\nfPljTK4MzBDkV2E6zt2CubteW8JjgSo+eCoNgo/an3LaID8ftmzIB+C9Vw8QFGzh00++YsvGnbz2\nyps4nU62bNlCtTo1ORjk4ruOL7Pi+S/4+e4JrHl3HvN/+ZWsfTlgc6EajcATjpo3wL9wAYx5ndym\nN8G/P4Um3SAy0dxU6/IELPkBgspClY7wxZPw3WuQnwuLJkFSC5Yu/oXFvyzGE9sIT3wzvp4xk4aN\nW/CvORYWG0P5cJ6Lho1bkmfu5AHQqFEjxrw+CrJ/AEstyN0I+/qQo05Mn246v02YMIG1ayPIyvqK\nQ4depaBgADAK0+XQAvwMTGfAgBHMmDGjxJ5hccAwjHDDML42DGOlYRgzDMMIPUW+VoZhLDcMY5Vh\nGP2POj/YMIyNhmEsDKQz7+j/hSCEM/hItEBnqIuQcqHY7F4qJqdTP6oBU8ZP4fWXXz8mXjXAli1b\nsNujAHfgTCgORxA7duwozNPzjtup+GQbXLGhtNnwEq3WjCJpyLXk+Quwecx2bT4XtiAXy/qMZU6t\n/vw+/jtyqiVTvV5dmrRoTniZeDas2sDB5duw3HUnjrFjsIT4yHNu5pBrNwdz84G9YO0Bznch4mew\n7gBLFqx+F/atgZQuENsMlo+nS5Mkdm9bT2pqakkO7SWHUgVxHB7o35/PHA6WYpLx/AAcNurcC0zD\n3FFfCFRwQr1QaBwOny6G0TPhq2XQaSzUbWSjVeVt1I3YxMtD9hMSHHnCWuwTQwdj7VCXcmPuIx8b\nvy85yO6wFIIf7UV+sBeSU+G62+DNafDyv+CeJ+DRh8AVAve8DK17wbJ5ARM9YPZEcPig9y/QcQL0\n+snkghlaDvL9EFaenFyxxdmKA5nfcKDuF+wu04M16zaRW/5VCG9KXspLbNyaxYwZMw5/5QIwc+Z3\n4LwXvO+D921wPYqR+w0hIaZ36M6dOzl0qCpHLJp7YrdnY+7m3AO4gGSyszvxzTfflsCTK1Y8Cnwt\nKQ3zBh49PsNRTACtMCPU32AYRuXAZQGjJNUKpC8vUL8vCFo2bskXd37O79+sZeUnK5jz+Cw2/HsT\n+blXsnhxGm+9NZmOHa9nwYIFJ5StVq0aBQXbMSmyTZ4Cp9MoZDPNz89n76497F+5jagW6dhDTK/s\nsl3rkbsvmzWjPydn4y5WPvsJeXtz2DVvJQVZflKXf0jUlOHETh/Jv+d8z769kcBbkP8Mec+Nxf/H\nRvyhUfgPGHDIAHc3sISAOwyuXwPtf4IW08Buh/huMLkqvOMkruBnfvx+DpMmTcLr9V6wMb5UUKog\njkPPnj15+Z13WF2lCt97PHitVjZikvbtAS7HpOJwAgcPwdbN0HE+PF0e3p0NvT6ApVvA7oaUihZy\nD0F6tdrM/fdPOBwOALZu3crs2bNZsWoV7ssqceDnVfg6NCNy7NOEP/0AYQPuwL9pC7g9UDH9SOcq\n1YDf12DL+hPy8+C2EeDPhwdqwNCrYdIwKJMGjgDVQXgKWJ1QkAv7t8GsgeCtREHYEY7+grD6FBQI\n9nwPO7+EQ9vIOrCHTl26U++yZuzbty/Q511gqX6kL9aqWI3d3HnnHYDJe+N0TsRUnQdwOB6jZcs2\nAaV42PZAuFzLiY2NLuanVuy4BhgfOB4PtD9JnkxgtaR1kvKA/wOuPer6Je/7U1Ts3r2bGTNm8J//\n/Ifdu3fz4ouvsm9jMlM7z+aTm78lb28B5ptRG9OEoyPbt+dw5ZWtWLBgAddddxN16lzONdd0ZPr0\n6YwbN4aQkM+wWJ4mJmY+33zzRWH8cpvNRo3MWmz/9yq2fPILeXtNLqQN//cTdo+L3wZN5puq/Vj1\nwldEDL4Db9fmHNq9B+WZs3V3vaqQZwB3YDKppUBOOw71eQLWNwR/d8iPhaAx5s1FXw6OAAVG/JVw\naDd4U7BYHcz69ms2rVtBvXr1LtxgX2o43zWqkk5cxHVav9+vp4YMkRd0JehZ0EiQF1TbQLsDUbmm\n2FEZC/LaDDnshsrGhun+++/X5MmTTzDN++jjj+QrE6aYRrXkDA2SLy1RFSc/IUeVFCVnzVd5LVHs\nN2/JiCojYuNEpXQxd52Yv13UaSjKZ8jiDpKjUoboNVLuqvXkCSkjqvcUN/8g3OGix7diUL5oNVrO\noHDTrS+xi6j2hKg+VITXE9fuFe2z5CrbWi5vpHAkCN/lwhosXBkiJVfOiFvV41YzxOgbb4yRN6iG\nCP5dhGyW3XWZMjObKCGhiipWrKvp06dr/PiJCgmJkc3mUsuWHfTnn39qzpw58nrLyO3uLK+3kSpV\nqq0DBw5cjMd5UnCSdVrgz6OOjaN/H3X+lCwCwCBgHWac6reB0OPL6xLeg8jLy9OAgY+remYN1W2U\nqeDwEFVoWlmR5WPUoElDBQenBvYPzGSzeWUYjY86110Qp6CgagoOjpDV2k5wnwxLRXnjouT2+WSz\nueR0Bik5ubLWrl17TPt//PGHImNjZHEmyOYLkieprKzuYAWHlhE2q3DY5M6sqopbPlc1/UfuetUU\n82JfVfX/pKjhdwt7cGCP43MzGa2E4RHOaGHxCFuaiJVwNhPOKNF1vbnn0OhNYfMptmxFffvttxdp\n9IsPJ5Pts02GjlpGuBRhGIYuZh83b95MSkIC/5DIBkZj/sfoYoURgX2H3YLK+VbWbdpEdPSpv45z\ncnKIjI8j+pV7sTjsWMOD+b3zIHL37Ae3C2toEPbyiRz6eQmeimkc2rCJ/P1ZR5aQmvaEm16C/36C\n9Z076NL+apo3acw99/flUIXrwV8AIYmw4EU4tJfE8hXpc2dP+g34B6Q8CNm/w+45GAX7IHcvFotB\nnYxMlqzKIzthDlicsPt92DoSyv4XcuZSJaw/Sxd/jyQGDhzK6NEv4vcXkFaxCitXWMjJGQVsxe3u\nxcyZH1O/fv0T7nv16tXMnDmToKAgOnTogNvtPiHPhUaLFi3YunUrS5YsAVhy1KXHgfGSwg6fMAxj\nt6Two8sbhtEJaCWpV+D3TUA9SX0Mw4jCtIgGkxQ4VtIJPNiGYWjQoEGFv0s6YFBRcc8D9/Llr9+Q\nMbQpf67cyb/7fsZ1/+lDUGIYH2W+xu4VBzh06G4gH5NJZzWGYUWqhGkuOhtojss1G8OIIyenT6Dm\nQ0AfwAvcgi14JrCLMJ+TzevXHeN5vW3bNtLT6/Dnn7Hk5zuABVgjvSQveBdb2Rh2PPoSh35dSdIX\nL7K2yV3k/bTUdDZy2PD7gtGm3UAz4E9gITR9DK4YCHvWw+t1QK3BdQ3suwPIBnsQLjv85/tZhYR+\nfzUc7wQ6ZMgQJJ3fTPZcNQsm8enXwEpMluxTfSW1wiToW8VRQVOAwZie0wsDqdUpyherVj0X3Nil\ni2ICpH3tQP1AUaD/OsxZxD1Om1o3aXzaOgoKCtRvwGMywoJlhAXLdlktWSLDZI2IMMnA3F5Rq6FI\nqiwjIk4dO3bUjz/+qH6PPCoq1BddnhbvSby9X1z7uHD6VCYmXqtWrZLV4RM1HhMNXxe+cnKEltWH\nH5omqLEJqaLhd6KdzBTTUThT5I26XEkpVfT444/LEttf1JKZ0ncIS6ioINkiHlOTpq01ZMhTeuWV\nV44h+4uNTRP8LMgNpEHq27dfiT6HkgAnn0EsB2ICx7HA8pPkKWpQoCRg8fHndYnI9skQUiZEt214\nNBDRebiq332ZGj7XVn30rGo/0kRpFavJ602WGQWlkeBlwSMyDJcsFo+gujyeykpLqyKfr6ZgTCC9\nJLAILpPVG6zMqX3VdMHTCq2bogf6PSS/36+BTw2WNyxUriCfuve6TUOHDlXjxlfIao1WeN9bVFn/\nVWX9V6k7ZsoS7FXk4Dtl8bi1bds27d27V23btjO5wyw2YVhFaF2BIQbmiiEyU/XuwnDJcMbKFlpe\nUXHl9NVXXyk3N/diD32x4mSyfbbpfBzlDm/kPRuw4HiU4zbzzkDpfXgjb9R59OGC4N1//YuXGzVi\n4MMPUzEvjzRMq6b6ueY3lIt8qu7bT25ubuE+w/EY9sxwXv1oEobHiz/7IPk/L8GokII/vgY8MQ6e\nvBGWL4KQOOS0MPWTT/n0ixmkpKRgdcdQMPN1CIuD8Q+APQRwsGv7TjLqN0VJnaDuP8yGwtOxz+tM\np06dANi/fy+4Eo50xJMCllpkxT5O3pa7WLJ0Oe6cxWTl9QVbJOx41cy3rhxeXz4//ZjH3H/XwOlc\nyIsvvsXChfPwer243R5M8hETNtt2fL6oYh75i4ZPgO7AiMDfj0+S55QBhQzDiJW0JZCvA7C4hPtb\nrHA4HeTuPQgJJs32wd3ZBKdFMqv3dJa8/j0Wi5XKlauzbNkfSP/A3JELw+VqRPfuFQgPL0O5col0\n7NiRGjXqkp09Cb8/BXO/vwYYK0i5rxlxHcwAUnUm3sP/tRpNlYqVeGXy+yT/dwwWt5PPuw6hd2Ii\nHk8YBVaD7Lk/o/x8DJuNnO9/BQz+fP492rduw/OjX8Bpd/DZjNkQXRFu/wxUAG91gENR8PssqNAS\n8nKwbv6eseNNS0KbzUbLli3x+XwXZ7AvdZyrZiEQXjFwHMPJv7JOSemNuU77UBHaKWa9eu548N57\nVdfl0quglwIziptA00DVQZ2uueaUZRMqpcmSVFbGqH/KsvWAjLk/C1+QaHebmJNjhib0hIvkxsLu\nETaPCCknR80ucgaFidhK5rmYRqLZeFGhq4isK2oOEJ54cVuBuY7acbGiEyoUttuy9TUiorm4YrnI\n/FzYy4jKP4sMiaTxuqb9jRrw+GBhOIW1jLCECdvNwoiSzR4s+Cng6OaXx9NOb775piRp8uTJcrtj\nBMNktd6j8PB4bdq06Zh73rhxo1avXn3RWS1PB04+gwjHZB0+ZnYMxAGfHZWvNbACM5TIY0edn4AZ\nRuQXTOUSfXwbusRk+zD8fr+63XyTQsuFq9nr7VXnwcvlDHLJHeQVJAl+FCyR03mNbDaPYLjgXcFE\neb019O677x5T39atW3XttZ0FbkG84ENBkhJ7NFF7faD2+kCXzx0kW5Bb1S+rq6QJT6iO5qmO5in1\nmxdUu3EDNbmimWxXNJKjVWM5qlaQ96oGMtwuPfjgg7J6Q4Q9SDjCAvtnYeK26Uf8f7pPFhENTCru\nsg2FL0YdrrvxolFwX0icTLbPNp2PgvjbbeRlZ2fr2tat5bRaZQHVAn0F+jqwee0D7dix46Rlk6tV\nEW6XLFsPmAri9x0iMVU4goS3jBnLNqmRSO0g7tkleiwRnmjR9X25vMGqXquuOXXulW16dt5VIMrU\nEG3nCEeIuOxF0Xa2jPB03XTLrVq4cKH8fr82b94shztcOOOEM0F4M0Xtg6LmHnkiGmr06JckSaFh\nscJIEt4sESThXRdwbtugw97Qdvv9eu655wrvac6cObrnngc0YMAT2rhxY+H5/Px8de58o5zOYHk8\nUapWrc4px+ViozheonNNl5JsH8aDjzyk6JrllXhLI4WkxiimXJzWrFmjjh1vlMlbtDKQpgb+6ftk\nGO3k8WQoPT1DOTk5x9T32puvyxcZrvAGlYXFLcMWJ2wpsrodSu7dQlVHdpM9PELwiCwur6Ie6lqo\nIBJG36fql9VV55tvku/VYXLeerNwVRCWdJle0DZhcYpyt4hm80XiLcIVKtoMP6Igmj8hwmoJi1vl\n0yprypQpfwvlIF0ABYG5x7D4JOma4xUCsPsk5U8Z8wGICigWAxiGycV00pdo0KBBhamofO8liUWL\nFskOujagHL4G3QHygG658caTlhk3YbxwOmV8Psv0hu58s0huJXqtE9fPNj2ffbGix1LxsMzUeISo\nfr2iEpLVuetNwh4i2s8T7WaK2/aJ6PriysnC6haRV4iQ6sLilj24ljwh5dT5ultUUFCgRYsWqUr1\nevIGRyi0TKKsNpesNqd63na3CgoKJEkPPfSwsDY1lUOQhM8vi8Unh6OjYJNglKzWIPXqdac2b958\n2vF56aWX5PFUE7wtmCiHo5U6dryh2J/DuWDWrFnHyFOpgjiCrKws2d1OXb3zNXUsmKCrd76m6FoV\nNGPGDA0cOFgOR3vBioCCeFJwheBF2WxeDRgwQDt27NCNN96uiIgkpaXV0ZQpU+QJDVb91WN0pT5V\nhVG3CyNEvqB4DRnylAyrRYajq+AtwS8Cmwx3jEKubamwrlfJcDtFcLCsQcFy1qhifkw5hwtnbeFO\nFpVuFPUeFs5w0fAz0SHX/Ihyh4va3UT1LsLuVosWLbRo0aKLPbwXHBd7BvG33cjLz89XiNcrV2AW\ncVnA9NUOapyZecpyDRo0FG6PqNdAOHymcjisDKr1FM4Q0e7DI+cq3SCrw60PP5ysb7/91pxC25OE\np57JruosIzxxovwDooOEu7xIesdcPqqdLVdYbd11112aP3++li1bps6db9Hlja9Wpcq15HQGKza2\ngqZPny5J2rBhg1zucOH+XPiyZHEPU3JKNXXseJNcrmAZRohggKzWW2W3B6ts2Urq1KnbCbQc7O3Z\nhAAAIABJREFUktSt262CHoGlh3cFQ+XxRGj58uUl9kzOFaUK4gh+++03WVx21f/4QdnDfbIFuWUL\n8Wj06NHau3ev4uMrCNIFDWSyny4MzCzv03PPPacOHbrJ5bpOsFjwoGw2j0KS4tRo03ilDO8uizs+\nMPOYLI8nQUFBZQIfEUsEcwMz1l8Et4ugMnLN+0a+rB1yDB1k8o4ZIcLeWoR3F1W7H2Ekvu4LEVZT\ndDgoHCGyusOEYZHF4dErr7xysYf1ouFiK4hnD/+zD+wtPHOSPKek9MY0/Tuc70Hg/VO0UzKjd574\n7bff5LHZ5ADFBWYPyTabHujT56T58/Pz1bZtB+HwCk+Y8EaK62YdUQapnYRhM2cSVXuIcs2FPUxO\nZ7DWrFmjUaNGyxFylSifZ1IOlxkhiy1UVdNrCkcZEZwhDJeoscNUEBkS0Q/L7q4utydODmeoDNcI\n4ZokLKnCNlA4ZsnjidQvv/wiyfy6jo2rIKvVoZo1G2ndunWSpKSkaoLJgq2B1E3QVXZ7N6WnZxbO\nQg5j+PBn5HbXFYwPKIgOgjgFB5fR+vXrS/bBnCVKFcQRfPDBB3LGhMnwOeWrmyprfKSsESGye9ya\nO3eupk+fLqerghlRzbAHUndhNNVrr70mh8Mr2CiLp6Z89eqqTJfmsnicsnhdsnijBO/piNXb2wqP\nSjCJJnEILLLZwmW3dxbcJdtddxZS2Xu3rDX36PAJa7rwXSEaDTmiIO5YIdyxIuJytWx97d9mCelM\nuNgK4m+7kXcYWVlZqlmtmnwOh0JdLl1er94JcZ/9fr+efHKQbDanwCrIEHiFvZJwBIvM/iK1s+mw\nYwkVICwOQS2ZJGIhuvXWnurV614RMfoIJ33ZJYpLqKiDBw8qPqG8iLzHdHSLH2Eqh5o7hbOSCPtE\nRG0w2/SuFD6/8Pxq7je4Jaf3br3wwukZVqOjUwRzjlIQDwt6CZbI44nRmjVrjsmfk5OjBg2uEIQJ\nygnKyCRly9TIkSOL/TmcD0oVxBF8/PHHCkkrK0uoT9byiQp+/yV5nuorI8gru8el9957zyRtTOgg\nrjskOu4QQRWFzaV//vOfCg6OFvRTaJumusw/U/X1rdImD5a7Zqp8zZvJNHU9rCC6y4iKFJ5YEbxM\nhB4SjtuFESxwyUitIO/OP+TL2iHnhDGmQYclRAQ3MT+EXGXETXPF3etkSW6uyLhk/WP4iP85U9Xz\nwUVVEBcqXWov0fEoKCjQypUrtWLFihO+pCVp3Ljx8nrLCh6T6WVa1ZxKe/cIayURdJlwVxWkCLoG\n/pleLgyZicmKiEhRnz595ArOECn7RHm/7BEPqmmztoqOTpbHkyRwCUu0sPiELdb0HPU9KmL8pteo\nJU7gEZQVzveFUU64/PIGtdC4ceNOe48PPPCIPJ4GgpmCiYE+fiBYILs9SGPGjNGGDRuOKZOfny+v\nN1jQUWZQ98FyODL1/PPPF+v4ny9KFcQR5OTkKCGlnPB5FL7ka0VpvaK0Xq5eN8heLkbWII/s3gjR\ncr64QWbK+KcsIRFq0aKFKlVNFzaPYvp0UH19q/r6VrVWT5QjMVoVZv9ThruM4HnBc8Ltk71dS+Ht\nJ8JkppDtAqco/4RwuUVMoiwZjURwtIhrLVwNTUOL5CeFK0WGM1hB4dHqcXvvQnbkUhxBcch2KRfT\necJisZCamkpaWhoWy4nD+dlnM8jKqguEYjJYNjaPc0eAaw7kuCFnG2YAk+cCfxeA9gVq2M+uXVsZ\nO3Yp+dnrsayPxbMtgbSY71j/+3q2b3+U7OzfgXXgt0DISxD2EcgCjivMKnI+NL2s2Qm8BId6gSUB\nj60tyeX2cf3115/2Hp977ml6925CfPw9uFwP43AkAMuwWNri93t46KGxVKpUnVmzZhWWsVqtPPjg\nA3g8C4DVWCzf4XKtoUuXLuc+2KUoUbhcLqZP+dj0ULJZC88bLgeRd15L8NUNyMvLgp3fmxck2DID\nf042X2/MZTlR4Pax9fUv2f3pDxTkHOKPAW+TtzeLrSM+wJ4WA/aBYAyB3Fz0516wLjLrAShYCIYD\n3LGQb4e0UfhDBkKrpVh0CCPvVyyWPKybRnNDh8vYtWUd+3ZtZeyYVwu5nEpRzDhfDVPSiUvsK+ts\n8cADfWW3N5IZqGSEzNgIoeZ6KnaBTVBHpjnp4RQqmCLTYiREMFawS7BFHk8NvfTSS8rPz5fFYhUc\n0pGgPD2F4RZGgiAtsMRjEwQJFhTmM4x4ORzBio4uf9ZWYTk5ORo+/Bk1bnylHI7kQD+nCrooKChM\nDz74kDyeEFmtPlWoUFX9+z+qJk2uUufON5xT+MmSBqUziBPgi4qQtXIFhXw2Vr4XB8saGaZqq/+l\nxNcfli0hSlg9Iq6t6V/gDBLXPGZ6+b8ncfUjonwD4fQIm03GlW1E2QqiQWfR71+idisRFClq3WKy\nBwRHC2dd4bhe2EOF2ycqPi0S75DhjhG1hsuZeqNS0qpp1qxZ+uijj/T7779f7CH6S6A4ZLuUi6mE\nsX37dmrWzGTfvjD8fge5ub9SUABmlNXrMZ1w5wIvYc4uJgIjCQuLIC8viwMH9mOyoZohCQzjcYYP\nT6J///7Ex6exefMzQEdgP1AXiyUCWI7f3weYAvQChgTqiATWY7JTfwysw+t9jKVLfy6kWz4MSUyc\nOJEff1xAxYrl6d279zFe4s8++ywDBrxDQUEisAxzdhSGua3kwmRY2YPDMY8lSxZesjz6hmGg8+Wr\nOfe2L0nZ3r9/P5Wqp7Nl7x5sYT7KTxqCMymWlVf1hdAQ6hV4Wb9pO1arFYvTycrmA6H21Wbh+VPh\n42cgexvMXgvLFkLfm+HFpWCxmCzEPeKgz1yY9Qr8/DaEBEN0Avz+O8gN8bdh/PEa/e7vSW6en+io\nCO6+uzfBwcEXd2D+YigW2T5fDVPSiUv0K+ts8Oeff2rs2LF64403dNtttwX2AiyCZwNrsncHzlkD\nexE95PGEKiGhQuD3Y4KdgqWCGHXp0lXNm7dTuXIVAjORTJlmh6GCeTIMa2DmMS2wqfyIIEY22zWB\n80MLN5x9vo4n3YO4/fa75fFUEdwjt7u+GjVqXugRnZ2drbJlKwguM2ctxAuuCmxC9g3MXA4ze16m\nwYMHX+ghLzI4tSd1UXjG3gG2cZyJ9lmUv9C3e1Z47vnnZQnyCLtNhtOhoJvbyhoSpB9//LEwz8Ah\nQ2Wv2tTkCBuzV1S8XFZfmIzQcPFLtpj0oyhXVXzsF9NkRj4MihD9FooXJa593vR+rny3KN9VFmeo\nEpKrnuCRXYqzx8lk+2zTRVcAZ+zgJf4SnS22bdsmu90X+Mfewtywo5dMr9SRAYXxvNzuSrJaQwT1\nA8tFZQRO2WzBcjobBf4RZwgOk6FNEbQWdJPF4pDV6hW0E8wKKIOuatGilWw2l2B+4NwW+Xz1NHXq\n1GP6uHPnTjkcPsGXgnmC2fL5UvTdd99JMq1dfL5qMjeq/0/wZmC57DXBCzK9XA8riHoaMmTIxRjq\nIuEUCuJZ4JHAcX9OYsIduHY5UOskCqKo5S/szZ4DNm3apPLpVWQ47PKWCdeEiROOuZ6bm6sbu/eU\nYbMLi03B0QmaOPFdNbyyuShXQXS6TXiCRYteYvBXclx5i/nbFSIiystwetX2mo6qU7+Zbu5xxyXr\ncf9XRHEoiHMm6zMMIxz4Fya/7zrgOkl7TpLvHaAtsF1S+tmW/19DVFQUa9f+RteuNzJ//k/k5c3E\n6fSQny/y87cD0UA2eXmbKSioCWzFdDb3AyI//xD5+QeADEw/xHsxP1hTMJ3c9+L3WzDpBB1AO6A1\nQUGzefXV75k6dRqDB3ciJ6ccVuvvREUF06ZNm2P6+OOPPwb+gf0AXAHYsFjCyMrKAuDgwYMYho8j\nMXECAYrIBaZiur8sBfbg8fxGt27vFfs4ljCuAZoEjsdj8lefEFVO0twAWd85lf8rIC4ujtW/Lj3l\ndbvdznvj3mbsm68BFC5Ddut2I0OHDmXKJ58SWr8ewUF72DJzBBk10nlm8np++ukn9u/fT8uWLUuX\nji5lnKtmofQrq1hw8OBB+f1+jRs3Tm53qIKDa8vjiVSrVu3k9abKpFKuK6gkk97gSZmmsh0EkwTe\nwNe7JTALaSK4VfB1ID0olyuiMJj7zp075fWGy9y4riPw6qGHHinsz4QJE+XxRMgwrhKkCmoI7lVE\nRLz27NkjyZwFhYZGyTBuFfxDNltDWSweWSxWZWQ0VNu2Vys5ubKuuupqLVmy5KKMa1HBOQYMOup6\n0klku0jl/9dluxQXFyeT7bNN57xJbRjGcqCJpG2GYcQAs2VGDDlZ3iRguo6dQRSp/KW6kVcSWLFi\nBb/++itJSUlkZGTQvfvtfPjhVHJz/fj9bTHDOYLJcvIzNpub/Pw/gNsxN4n/BeRgsk63COT9D/AP\n0tKS+eKLaYwYMZI33xwHvIEZknEnFsudbNy4hpiYGIKCwsnKehpIBgowjD6kpgYxffrkY2Jq//bb\nb9x55/1s3LiJxo0b8vLLz+PxeLBaj5hHXso434BBR11L4kTZ/rMo5S/VgEGl+GuiJAIGnY+CKHwJ\nDMMwMMn6wk6RN4nTvESnK/93UhAnw7p163joof58+ul6cnNbAWCxTCc8fDuhoSGsXp2MudQEZsiN\nSZhLS48G/g4FqmKxOElJWUu5conMnPkb8FphGxbL7fznP59QvXp1XC4Pfv9HmFZW4Ha/QKNGVpYv\nX01QUBCjRv2Dq666itmzZ/P440+RlZVFz5430afPvZiP8a+Fk1l6BD5emkraahhGLDDrHD5+zlj+\n7y7bpShZFIcV02kd5QzD+NowjMUnSdccne/wdOZcO3G+5f+XkZSUxJgxr5GUlEVQ0Fh8vndIS8tn\n1arFdOnSHsPYfFTuLcABYBfmh/CTwEEgCb+/EevWraZNmxaYhjeLAmX+i9W6jwoVKmC326lduz42\n24RAuaXk5X3H3Llr2bChM8uWZdKhQ1fGjx9P27Yd+P77MH75JY3HHnuWkSMv+bhPZ4PDAYPg1AGD\nSrJ8KUpxSeB8l5guyFdW6TQcDh06xPz58zEMg7p16+JwONi9ezc1a9Zl82YrBQVODGMlNpuFvLxO\nQCXMDe6xmFyIWbhcb3HgwB5uvrkHH3wwCTCw2Wx8/vlHtGhhLklt3bqVDh1uZP78eYSERJCfn8++\nfb0xY0KBYUyndu2d/PxzEKbfBsAGkpO/Z+3aZRd4VM4eRZmGBwwoJgGJHGVAYRhGHCZ9fdtAvg8w\nN6PLYIbXGyhp7KnKH9+X0hlEKUoSxTGDOB8F8SywS9IIwzAexbT1PqmlxikURJHKl75Ep8f+/fv5\n6KOPOHjwIK1atWLVqlW0b98ZcJKdvQe73YfNVgFpBWPGvMqNN94AQF5eHjt37iQqKuqk+waSMAyD\nxMQ0Nmy4GjAd3ez2/yMz08/331uQmgVyryEtbRErVvx6YW66GFHqKFeK/1VcbAVR+pV1iSI7O5uN\nGzcSGxvLDz/8wObNm6lbty5Vq1Y967ref/99br/9PnJyGmOz7SE0dDkff/whrVq1IyurFpIHj+dH\n3nzzBbp161YCd1OyKFUQpfhfxUVVEBcKpS/RxcfMmTOZOnUaISFB9OlzL7Gxsfz22288++woDhzI\nokePbrRt2/Zid/OcUKogSvG/ilIFUYpSnCdKFUQp/ldR4lZMpShFKUpRir8vShVEKc4JPp/vhHOD\nBw/m+eefP+G81WqlVq1ahenZZ589bd2nqudM2L17N1dccQVBQUH06dPnmGs///wz6enppKamcv/9\n95913aX4++BSlO2vv/6ajIwMqlevTkZGxjGxV0pSts+Zi6kUf2+czCnuVI5yHo+HhQsXnlfdRYHL\n5WLYsGEsWbLksId0IXr37s3bb79NZmYmbdq04csvv6RVq1bn1E4p/rdxKcp2ZGQkn376KTExMSxd\nupSrrrqKjRs3AiUr26UziFJckjj8Io0ZM4Y2bdpw8ODBM5bxeDw0bNjwhOhiW7ZsYf/+/WRmZgJw\nyy238PHHpb5rpbg4OBfZrlmzJjExpi9SlSpVyMnJIS8vr8Rlu3QGUYoSR05ODrVq1Sr8PWDAALp0\n6cKgQYPIyMigXbt2J5SRxCuvvMLMmTOZNm0adrudkSNH8t57JzLDNmnShBdeeKHw9/FfaZs2bSIh\nIaHwd3x8PJs2bSqOWyvF3xwXWrYBpkyZQp06dbDb7SUu2xeT7nswJsvcjsCpxyR9ea79OVvMnj27\nRDyyS6Lev1JfT1av2+0+6TR8yJAhJy0viQkTJlC2bFmmTZtW6MiXkZHBww8/XOz9PR5/ddk+GiX1\njC90GxeqnaO97IuCc5Vtj8fDvHnzCmX74YcfLpJsL126lEcffZSvv/76rPp5rjifJaZHga8lpQEz\nOTXf/VjM+JPHQ8AoSbUC6YK+QGcrCBez3r9SX4ujXsMwSE9PZ/369WzYsKHw/NNPP33MhuDhdKaN\nufj4+ML1WoCNGzcSHx9/uiJ/adk+GiX1jC90GxeqnZJu47Bsr1279hjZfu65584o2xs3bqRjx45M\nnDiR5ORk4Jxk+6xwPktM5xtUBY5EnClFKY5BrVq16N27N9dccw1fffUVsbGxNGzYkMGDB5+x7PG+\nBbGxsQQHB/PTTz+RmZnJxIkTue+++05XRalsl6LEUKtWLRwOxzGy3a9fP/r163fKMnv27KFt27aM\nGDGC+vXrF54/B9k+K5zPDCJa0rbA8TbMUGhniz6GYfxiGMbbhmGEnkdfSnGBkZ2dTdmyZQvT6NGj\nARg2bBijR4+mbNmyJCYmAkfWaQ+nAQMGADBo0CCmT59+0voNw6Bhw4aMHDmStm3bsnv37iL1Kykp\niYceeohx48ZRtmxZli9fDsCrr77K7bffTmpqKhUqVDiTlUepbP+NcTrZPnzufGU7MTHxrGT7lVde\nYc2aNQwZMqSwrZ07dwJnLdtnhdN6UhuG8TWHaTyPRXEEVYniyBrtUCBW0m0nKVvqalqKkkZxBwwq\nle1SXBI4X0/q0y4xSWpxqmuGYWwzDCPmKLru7WfTsKTC/IZhvAWcVN1eLBqEUvx9USrbpSiFifNZ\nYjqvoCiBF+8wOgCLz6MvpShFcaJUtktRCi4u3fcEoCamxcfvwJ1HrfuWohQXDaWyXYpSmLjk2VxL\nUYpSlKIUFweXBNWGYRjhgfjXKw3DmHEqqw/DMN4JrA8vPu78YMMwNhqGsTCQWhVDnSctfxb1tjIM\nY7lhGKsMw+h/mr4+frJ8x9X1UuD6L4Zh1DpTG2e6VoR61xmG8Wugf/8pap2GYVQyDOMHwzAOGobx\nUFH7c571nrSvRay3W+DefzUM4zvDMKqfzfidCSUh1yXUzhnLl4DctzpTmePqPet3oKh9K2I7p5Sz\ns2njXN+RYmyjSPdRCEkXPQHPAo8EjvsDz5wi3+VALWDxcecHAX2Luc6Tli9KvYAVWA0kAXZgEVD5\n+L6eLt9RdbUBPg8c1wN+LEIb51xv4PfvQHhR7+moPJFABjAMeKiI43HO9Z6qr2dRb30gJHDcqihj\ne7HluoTaKYpMF5vcn8NzOut3oDjbOZ2cXYh3pLjaKOp9HJ0uiRkEpmPS+MDxeKD9yTJJmgv8eYo6\njrcIOd86T1W+KPVmAqslrZOUB/wfcO1J+nqmfMe0J+knINQwjJgzlD3Xeo+29z9+PM9Yp6QdkhYA\neWdR9nzqPVVfi1rvD5L2Bn7+BCQUtWwRURJyXRLtFKV8ccr92ZQ5pu2zeAeKq53TvRNn3cY5viPF\n1UZR76MQl4qCKAnHpPOt8//ZO+/wqIruj3/vvdvu3b6bbHoICUlIoUPovYciLfQmIr0XUYqgiIi8\nr4pKUaRIUZCigIJIEaQqCggoKEgNLRQhkJ7d7++PjaEYIBgCvj/28zzzJLs7c+bcO+fu2Sln5l7l\n8yM3AMCZ214n5rx3h65we/iL98l3P1n+96njQfU/KA8BbBQE4UdBEJ5/CJn34n5lCyL3Xrr+E7nP\nAVj7iHT6i8cVcFdYtv6wefJl93ddS0Fs9X7PwMPq9qA897Kzh63jXuS3bGE9L3ny2HZzFe4fdJcL\nSQr5DCC6TaYE4AbcDq8Z3KtP/pHM2+Sa7hqrNQqC0Dyfcu9X10wAr+b8vwzuruwDVcpHnvzWnx+5\n1UieEwTBG8AGQRCOPITMh9WnoKskqpI8f7uuOb+UH6a9awPoAaDqw+pUGHZ9G7fbyh8AjguCcPdW\nnY+iHgB3XIvxLtvPbx35tfuJAP4Lt1MuqK3ml0f+TOTY2T+pIy/yW7awnpc8eWwOgoUQdJeXTCEn\nshXAPw52Ilk/50ux/m3lvyW5Op+6ngUQdNvrILg9PXhnENViAAvyyncfWYE5edT3quN+9T9A7tkc\nHc/l/L0kCMLncHdrd+RD5r24nz750fWekDyfh67b8itXcE9MzwbQiORfwy/51qkw7Po22bfbSh3c\nFbH9qOrBrWel/m22fkc9j9jubw8e/Ke2+qBnIN+6PaCe+z0Td3+xFsSW81u2sJ6XPPm3DDEVRmBS\ngWTep3x+5P4IIFwQhBBBEDQA2uWUu1vX0Jz3/pbvLj265uSrBOBaTlf/nnU84LP7yhUEQREEwZjz\nvh5AA7jvZ35k/sXdv8IKqmuecu+ja77kCoIQDGAlgM4kj+VT34fhcQXcFZatP2ye/Nr97dfyj201\nn2UfqNuD6nmAnT1sHX/xMM/II6njIa7jFvmdzS7MBMAGYCOA3wF8A8CS874/gK9uy/cpgHMAMuAe\nh3s25/0FAA4A+Bluw/V5BDLvVT6/chsD+A3uFQcv3fb+3bp2uDsfgN5wB1f9Veb9nM9/BlD2QXXc\n67P8yIXbae3PSYfu0v2+MuEenjgD4Drck6GnARgKquu95N5P13zK/QjAFQD7ctIP+bm3T9KuC6me\nPMv/wzrya/c+9yuDR/AM5HENj/yZeNg68A+fkcfxvOSVPIFyHjx48OAhT/4tQ0wePHjw4OFfhsdB\nePDgwYOHPCmwgxAeZ9i3Bw+PEY9te3jaKdAyV0EQJLgnderBvfxqjyAIq0kevi3bFQADkXfkJQHU\nIpm/48I8eHhMeGzbg4eC9yAea9i3Bw+PEY9te3jqKaiDeKxh3x48PEY8tu3hqaegkdSFHvb9T7cN\n8OAhvzDvoz89tu3hf5572Ha+KWgP4pGFfQP4K+w7r3yFmsaPH/9YAgIfRz2ea3m45LHt/406PNfy\n8OlRUFAH8XjDvj14eHx4bNvDU0+BhphIZguCMADAerh3VJ1D8rAgCL1zPv9AcO/bvgeACYBLEITB\nAKIBOACsFAThLz0Wk/ymIPp48PCo8Ni2Bw+PYDdXkusArLvrvQ9u+/8C7uyq/8VNuA92f+LUqlXr\n/009nmt5dHhs+99Tx+Oq5//TtTwK/vV7MQmCwH+7jh7+dxEEASzgRF4B6vbYtodC41HYtmerDQ8e\nPHjwkCceB+HBgwcPHvLE4yA8ePDgwUOeeByEBw8ePHjIE4+D8ODBgwcPeeJxEB48ePDgIU88DsKD\nBw8ePOTJkz4w6L5lPXh4knhs28PTToEC5XIOVfkNtx2qAqADbztUJWc3yyJwH6ryJ8n/5rdsTj5P\nMJGHQuNewUQe2/bwv86/IVCuIIeqPLCsBw9PEI9te3jqeZIHBhX0QBYPHgoTj217eOp5kgcG5bvs\nhAkTcv+vVavW/8xGVx7+fWzZsgVbtmzJT1aPbXv4n+IhbDvfFHQOohKACSQb5bx+CYCL5JQ88o4H\ncPO2cdp8lfWM03ooTO4zB+Gx7f8Rzp07h+TkZISFhUGtVj9pdf41/BvmIP7xoSoPWfapJSsrC0eP\nHsWVK1cemDczMxOvTpiALm3a4LVXX0Vqaupj0PD/LR7b/pcxe85slIwrhVIVS2Pu/Hkgif6D+yEy\nNgI146sjIiYcp06detJq/v/iERxr1xjuFRvHALyU815vAL1z/veFezz2OoA/AZwGYLhX2Tzk8/8r\nZ86cYbVqdWgwmBkaGsFt27bd8fmRI0fo61uUOp0/VSo9O3Tows8//5xJSUl0uVxct24dp02bxgUL\nFrBcZCTNAH0AjgfYEKC/ycTdu3c/oav73yDHvjy2XQAyMzN54sQJTnt3GuvE12HLdi25f//+O/Jc\nuHCBq1ev5rZt2+h0OvMte/v27XymXSuWLF+aliAbW216jq039aRXUQcHDxnMoFL+HH+tLydzCOu9\nWpnB4YF0uVwkyaNHj7JufD2GRoUyoVNbHjp0iA3jGzCqRHH26tuLGRkZj/Q+/Nu4n23nN3nOg3hM\nJCcnY/Xq1cjOzkajRo1gt9sRFhaFM2cuwb1SUoYg/Ixx40YhMDAQjRs3Rp06TXH0aHMAXQBcBtAc\nshwMrfY8mtavhh/WrkX5rCysyszECxJQUwJmZwOJLuATAHUBnNNp0bNvP6Rdv4ZSFeLwfK9eEEVP\nfORfeM6D+OekpKSgXccEbNi0ERAFKF4K6v+3LpLP3MD28TvgsFsgqUTUqdUIiz79GGpFhDObKBFd\nHhPGvIzX35mKjIwMPNepK5579jnknMCXyw8//IB6TRrCp01pHJ+/A6JKhOIwoNnKTrh08DwOjt4B\nr8p6NH+vNgwOBdcTb+DtqAVYOHcxGjRogKiSUYgeXBJF6ofi4Af7cGjRXlj9tAgtb8beNRcRG10K\n7779PubNmwedTodRo0bBz8/vCd3NR8+jsG2Pg3gMHD9+HFFRJZGZqQaggkaTgi5dOmL+/MVwOisC\neD4n50YowmeorCN+cDpxIzMbwH4AupzPXwZwDhDrwcwJ2EMXdgOYKwCrtO4c2QSKZgC7AfQWgCAZ\n+EGQMMjPiaXJCiLrP4M5iz4BAPz55584dOgQHA4HIiMj89T99OnT+Pzzz7F923fISr+OoCJhqNcg\nHiaTCZUqVYIsy4V01x4PHgfxcKSmpmLp0qVY8fkKHDp8AElXktD4/QbYMmE7Wn/WCr6eQYA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P3DcpzPtpzrTGCJRr50+Hrxxx9/fGxt9xe4fyT1U2PbZ8+eZZHwEIZWj6RXjA8tkd5st28IFZuW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\nUFxQwO7du6mVFOLjPmJUsRNPIAvlXYDNn4vV6UP1J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0WrUgeLJony2g4aldXlm2++Ycb0\ny3GHfOjGBw8SRO8hyG6n/8knM3HyZNavX8+pp55Eo1IPl14g6hTbCcbYmD7XwWa8PP6ai6QUA3da\nDAOqb2cgd9Jv363YnHbcXhuxyXZMn5W71pbxLC14lhZUnJmExWrgMh1MueSiExpF7lD8EYPoP5X/\nxr796quvMmjQIByOBKQ5SLdisdRFsmOTME0fsR4Pl0i0iRLErOhDNE6R0Lu3SMS53Ye5phg9+lxc\nrt7Rpde1OJ31yYiPx2YYWC1eXK66uFzdkUxMMwOfL8QLL7wAwHvvvcewYWcyePBIXnzxRTp27Ilp\nJmMogWzDzbem+KcpSgwnFgXp2rUvo04/nUHdujF/3jyqq6sZOHAYVmtmdKnoe6RvcamcibIyJ7pM\n7Iga5E1F7BCjJM6OfrZJJCaks3Tp0hOlmv8z/iKI/w+wf/9+LBYv0pLIWqqlKfLuQT6wumfQqnUF\nL7/8Mh279KV1ux488MCD7N+/n9WrV7NlyxZuumkhDtOPzZ+CbC4qisWBeWLNVBHyiCbl9dm8eTM7\nd+7kpOGnk5yVT1H9MtKSXOx/TQztIgoyRfsmIi7GTUWX9vTvImR60OBRqEMPlJOP7HZy6pTUnEuo\nrq7mvvvu4+KLL2bp0qUkJQd4/u9u+pxsJSZk0P9UN1kFVhIaplBnZn9CBfF4/E7GXZvGLe8U4vJY\nuPWz0hqCaD80nlC6hwcffPAEa+Rw/EUQv4w5c+bi88XhdJr4fPEYRlukS5FOwyWDMxTxKjBZER9l\nN0n0k+gscb9Eg0CgZplp2bJl+GwOnPJgV0+cysMe3eAxQeLe6MzEbvcgPYy0CWk5Pl/8YbGpAWbO\nnI3b3Y6Ie5sJGKpHe4uDPR7R3SoGDRxIXloap9vtzJNoaJqMO/NMrFYn0gvRJWATyUEDuXhOEQ+2\nWbIwRWJMdDbkUGTziScqfreb1atXnwhV/Mf4iyD+P0F8fAZSGpILOWYfPFjk+ZJgTDKmLx4VLka1\nl+HyZ+CPiccbysJqd0VsD0P/Holve9KryObCIuG0iZHtxaAWwucWPq+TCeeNo6qqijfeeIOcdAeP\nXi3qFYi9Hwm+EC/eKRJCXsrquikpcaKERNSiDYqJwRIfh8Xn4ewJ5//i232LlqV4YuzYXRaeXxXP\n1ySzan8SsQkGsYl2Ji5KY/AF8cQl23j4uzoUlpsk1HJy4V15nHRRGi6vlboNah8x4E80/iKIX8f2\n7dux2ZxEzgRMQ5qGzZaKZMclO6cfQhDNoiRxpUTQ7Wb9+vW8/vrrhNxuZkYN2vVkUCjxosRSReJO\n3CrRxOnE7W4eJYeImGbqERs4+vcfhjQJKYR0MtJpSC46O63kpqSwYMECSlwu7pJYI/FJ1KhuGHYi\nB9zeR3oZqQhLdHbgkpiqg4b4PtEZg0XCarEwYMAA1q1bd2IU8DvwR/Rtm/7CMcd5543V9Ol3ae/e\njlLVQ5JjvGS4ZQ0/KIfT1Pa4cVLy6ZKkfRZT+9ZNlnp+JN0XkOKKpaSGkYzSWkrueIUbn6L9Tp9u\ne3aaDJtNVB5QSpxdzz5+qxISk/X0U49q5+4DuvpeqaxEcjkjyVuUSlt/3KNevYdq8e13S/69ssV7\nZCTFKunBOZLF0G39J2jjhu91+623yuv11vyGrNw62lQ/Vt8ufklZ+VZJksNhKFxtaM5TWSpuZEqS\nftpRrafv2ao5T+VqQOanWjD+axE21K1zb91zzz1yOp3Hr+H/wu+G1+uV1WpVVdVWSSFJVYJdkjpo\nn4p0jxZolSq1U4a+FDJk06Oq1ugRI5SWlqaFN96o1nv36l1ZtUF25Wi/XlNk/2+SpFaK+CL5p9Wq\n6qovJG2IlvOKqqt3atu2bfrss89Uu3ZtZWZmqn79Ij388C2qru4vaXS0lvv0puN5ndqvvy6fPFnJ\n+/ZprqSZku6RFA6HZcguNEbS8GiJ36hxNPXHkn6UlBb9vEVStaz62xOPqVOnTrLZ/ryPyT/vLz+O\nuOiiC+XzeXX33Q/pH+s2a+fOLDmcIQVCVSorL9cjH4UPuTssuUJS5S4pXCVt+1za8Q8p8P/aO/Pw\nKKp0D79fdzo7ISTDEglM8BIMQoQghFH0wjjgAogjXnEZRccVUIEo4DLOBRQZ2UQdBAdFBXQcd5C5\nyKZERJDIvhmRTUJIFBK2QEg6yXf/qE4mQCfppJNOA+d9nnroqj5f/ep0fsWps1Yc5KRD4VHongKh\nUeA8ie5ZCiPncWDrVxx++14++fhdsg7sxRkQwqrddjbtyuPem6FbJ3hlro3LkxLo3uNasjI/5oQ6\nWbluHVGTRxLYrjUAEeOH8vnwF+l81RWsXbm6rJAoKC4kskMLjic0Ydr4EwwaFcqG1YUUFEBYhK3s\n6kMj7Pxz0q/MHpcNCCXFNp4Y8QQvPDceEfHZb26oHex2O6+99ipDh45CNR67PQsIJi+vLdAaJ0+z\nin9j/Rf7AlBIWNgrdLvqKgDCGjRgEcEU0gUnyWzg39jZAxSyD1gMHANCCgtp1/4SNm66wlW7clBQ\nUETXyy/nkrAwDqgy/c03GTHicaZMmcHhw01dV/gOsJzjx69n1mvvckfJcR4EFKuAuBVriFk0BeSx\nmRJGcRw7fXFyg+sMhcBMoKcrF5uCgli3ejVJSUl1/fP6PaaA8AEiwqOPDuHRR4egquzcuZO8vDza\ntm3L5s2bWfKHPpy0h4I9HNmZgra5Fw59D4HhcNmDMLczRF4MOdvh6qFW4QDgCIVWSRDRGK68jcLF\nL7MnYxc5R5WSIWMJfu9FIhuGcO1D+dhtNi6KicFZcoQHH76LkmKIiRHiGhSRu2tf2bU6d2cQfkUC\nx/OdzJ07l4ceeogZr08nOyODHS/8RMeZA/nn0+/x8v8eIDhYsAfZee6eDB6dGEP2z4XMfyOX9jfE\nkPbBfrKysoiIiCA0NLR+fnhDrXD//ffTsWNH0tLSaN68OfPnL+S991ZRUNAKaIjDcRQ4itOZSlDQ\nbmJiCujbty8A7dq14wTRWKOFBSfdcHIbw7CGft0CZAM/FhURv3EDR4BM2lPIS8A3FPEyP50oYiD5\nPHzfffw2Lo7CE79iYxoltAZmAJOARVByhE6uaxYgCfgeKAbaYa2NspESvqCE5uXy1x7YCsQ98ghd\nmzXj4wceoFmzZnX5k54ziFVa+y8iov5+jd6yatUqXpw0jYKCQq7p3oUXJrxEgYZQmDgIuj4FR3bD\nvq/gq2EQHg23zICTufDJYEj5EJJ6Q1EhPJ4AyT1g2QeERIcy9eVT9P2fIA79WsINnfIpcgZTpMe5\n9uZgUp6PYOu6QobfnstJp4Owu2/CFujgxAcLSfxqAjlzvmRQo478sGMLm3d/xdV3RLDw9YPs23kS\nR6AgthL6/TWRpVPT6dq/GTtX5xAS4SD8N8EcP1yEZjdi8/rt9f3TVomIoKr1UrU5V72dl5dHnz43\ns2bNd5SUFHPrrQPo2/c6li37mpYtL2L48GE0bNgQgCVLltC79yMUF7/qii4GbiecUxRRTGuspXCn\nA2GAE3iEYI4xFWgNDAAGE8lkinGS2CmJTuvXIwjvEUwupwDrAUQooCnFDEYJBqYCB4ES4BLgYSAc\neNZ1FcNcetOAGwcO5J3Zs+v8t/MlteFtU0D4ITk5OYwYOYr31oOz1yzr4M75sOg++ONo2LQAThyG\nrG3QIBquvAO2LwctgC6/BwX55O/sK4oqa9YZdnchn32cD84ituY3x+Gwjj92aw4N7f3YtiOdfcV5\nxM0cihYWsffWv/HhO3O57c5bmJ1xOcFhdoqLlQfbrKVhFGTuPsXlt7WiQeNgti/O5M4XL+Xgz/m8\nPWQTTZo05cslqcTHx9fXT+gxpoCoGarKoUOHcDgcREZGVpguLy+P2NjWHD3aHbgc+ALhewI5wR+A\nhljNTDcAN7piniCUTJ7H+u98ONAGa1oJOLAxhmKSXWl7E4STa4CuwA4c/JPfAr8CRcAD5TQKsQqJ\np2022nbuzMZ16xAR7nvoIV6dNu28awKtDW/bqk5SoXiUiCwVkR0iskRE3LpERN4SkV9EZEtN4i9E\noqOjmTxpIo2PrCB48Z0ErHgCFt4FbX4HvYbCiKXw1Aqr1tCyDaz9BLJ/hF49kPjG8OX7OIJsLJ7v\nBCD3UAnffV0EgYEEhAayf08RACUlyt4dRQwYMIDVK1ZyXYeu7O07ltz7pjF7xkwSEhIICrYTGGLZ\nxG4Xohs3ILZRF4oKSlg9Zw+ZW46AzcbUW75n7T9K+Ohfn7F3V8Y5UThUhPF21YgIjRs3rrRwAKuT\ne8uW72nb9ifgeeys4b84QWfgSqymnzuABVhP+4uAg5wE3gRGAK2wnvdHA0/iJIJXsLqy9wJOCrEa\nkyCQL7gdeBDoAnTCmvFoB67GWj/l1YAAfte9OytXr+ZkUREnnE7+/tpr513hUFvUuAYhIhOBQ6o6\nUUSeBBqp6lNu0l0N5AFzVDWxBvHn7FOWtxw+fJh3332XEydO8N133zH/m/UwdjOERsK378D7w2FA\nCuzcAJfGYnt+AgC6bDHy1xSC8w/TJCKfXw8Uc9ON/fks9Wua/fUujo3/B/3vdLD+2wL2pAu/ZB3D\n4XCcpV9SUsKVV3ehScccev45mvWLjvL1OwVs2fgDGRkZTHlpItt/+IEOiUkMHz6cSy65xLc/UC3g\n7inLeLtuWLFiBf1vvJFT+flc5nTSx3X8ANaSt2A1M8UCWxFKCMTqTbgfa0ksgFU0YzGnKKYEOGEL\nprikL9AeO+N4hiLCgTVYY5XuxnoK/hH4FHhuwgRSUlLc+v18o1ZqxzUdH4sHa+aXSxvHGQuWeRrP\nOTBW3BcUFxerhDZUQhoqF7VTQhsqjhCl/3Cly7Uqf3nuP6uxfvG12hMTtMXR7zXov7toQFCQZmVl\nadIVXfU3f+qlsRMHaWhSa7UHB562JLg7cnJy9O57b9f2HeP1plt6n5PjwSsD90ttGG/XEfn5+bps\n2TKNDA/X60FvB43EoUKMQi+11oG6TuH32pxADSNI4SaFcQrPK1yqvUFfdc25+H23bhoWFqkiTTUQ\n0atdM7tHgoaIaIzNpm1Bg2w2nT17dn1n36e483Z1N28KiCrXzC/3vbubyKP4C/EmqohDhw5pXHyC\nBjRopE1i43TevHl636Ah2u2anhoYHa3y7icqi1YoiR20wbODtckXM1VCQzRllPWykyNHjuj9QwZp\nm04dtMd1vXTz5s31nKP6p4ICwni7jtmyZYve0LOnhgcEakhwEw0KaqR2e7BaiwT+QQMCQrRNYKAO\nAg0gQCFe7faWapMg7S6ivUQ0MixM169fr7m5uZqamqrLly/XzpddpsEOhwY5HPq38eP1008/1bfe\nekt37dpV31n2ObVRQFTaxCQiS11PQGfyF2C2qjYqlzZXVaMqOE8csEBPr4Yf9iT+QquG15TPP/+c\nJ194gePHjqPFTn7Zt4+I6GjGPvU0jz32WH1fnt/Rq1cvsrOz2bp1K1ijHEsx3vYhx44dY8OGDYSH\nh+NwOJg5cxaqyp/+dDvPPfss33z7LcUlJSR37cqwlBTatGnDhx98gKpy1913k5CQcNY5jx49Smho\n6AXRjFQZ9TqKSUTSgR6qmi0iMcByVT37r0WFN5FH8SKio0ePLtvv0aMHPXr0qNE1GwypqamkpqaW\n7Y8dO9ZdH4Txtp9w+PBh7HY7ERER9X0pfo8n3q4u3nZS56jqBBF5CmtJ5LM64lxp4zj7JvIo3jxl\nGeqSSjqpjbcN5zT1XYOIAj4EWmKNOBugqkdE5CKsVzH2caV7H+gORGMNT/5fVX27ong3OuYmMtQZ\nFRQQxtuGcx4zUc5g8BIzUc5wvlKvE+UMBoPBcH5jCgiDwWAwuMUUEAaDwWBwiykgDAaDweAWU0AY\nakT5t82VMmbMGKZMmXLWcbvdTlJSUtk2ceLESs9d0XmqIi0trUyjY8eOzJs3r+y7devWkZiYSHx8\nPMOGDav2uQ0XDv7o7VL27dtHeHj4aeeoS2+bFwYZaoS71S8rWhEzNDSUDRs2eHVuT0hMTGTdunXY\nbDays7Pp0KED/fr1w2azMXjwYGbNmkVycjK9e/dm0aJFXH/99TXSMZzf+KO3S3n88cfp06fPacfq\n0tumBmHwS0pvpDfeeIPevXtz6tSpKmNCQkKw2SxLnzx5suxzVlYWx48fJznZeovAwIEDT6tdGAy+\npCbeBpg3bx4XX3wxl156admxuva2KSAMdU5+fv5p1fCPPvoIgNGjR7NgwQK3MarKtGnTWLhwIfPn\nzyc4OJjJkyefdp7Sbfjw4WVxaWlptGvXjg4dOvD6669js9nIzMwkNja2LE3z5s3JzMys20wbLgh8\n5e28vDwmTpzImDFjTjtXXXu7xk1MrtmiHwC/pfLZom8BfYBfz1iOYAzWC58Oug49raqLano9Bv8l\nJCTEbTV87NixbtOrKnPmzKFFixbMnz8fu90OwIgRIxgxYkSlWsnJyWzbto309HTuueeeGlW1jbcN\nnuIrb48ZM4aUlBRCQ0Px5eRKb2oQTwFLVbUN8KVr3x1vA+7uUgVeUtUk11ZvN1D5Ba7OdR1f5aW4\nuLjOzi0iJCYmsn37djIyMsqOT5o0ye1TlruOuYSEBMLDw9m2bRuxsbHs37+/7Lv9+/fTvHnzs2LK\nYbztZxq+0qlrjep6u7QGkZaWxqhRo2jVqhWvvPIK48ePZ/r06TXxdrXwppO6H9Y6NACzgVTc3Eiq\n+o1rQTN3+MV7/lJTU32yiqYvdHyVl7osIACSkpIIDAykX79+LF68mJiYGEaOHMnIkSMrjNm7dy+x\nsbEEBATw888/k56eTlxcHFFRUURERLBmzRqSk5OZO3cuQ4cOrUzeeNvPNHyl44tCqCbeXrFiRdnn\nsWPH0qBBA4YMGQJQXW9XC29qEE1V9RfX51+ApjU4x2MisklEZp2P7+09n3E6nbRo0aJsmzp1KgDj\nxo0rO9ayZUvg7HbaZ555Bqi8nVZEaNmyJZMnT6ZPnz7k5uZWeU0rV66kY8eOJCUl0b9/f2bMmEFU\nlPUahunTp/PAAw8QHx9P69atq2p6Mt6+gDl58qTfebsyqunt6lHZ24SApcAWN1s/znhLFpBbyXni\nOPutW02wnrIEGAfMqiBW65rRo0fXuYavdExePKNnz57avn17xWoOMt72cw1f6ZxPeaGeXzmaDjRz\nfY6hmu/t9fR71w1sNrPV2Wa8bbbzdfO2gPCmD+Jz4B5gguvfag2+FZEYVc1y7d6M9fR2FlpPSzEb\nLmiMtw0G6veFQXOAjlgl3R7gYf1Pu6/BUG8YbxsMFn7/wiCDwWAw1A9+MZNaRKJEZKmI7BCRJRWN\n+hCRt0TkFxHZcsbxMSKyX0Q2uLazuvFrQaPK+GpoXC8i6SLyk4g86Wk+Koo7I82rru83iUhSdWJr\nQWOviGx2XXtaTTVEJEFEVovIKRF5orrXV0s6HuWlCv0693Ut6dSrt33h61rQ8Rtv+9TX3nZi1MYG\nTARGuT4/CbxYQbqrgSTOHjUyGni8jjWqjPcwjR3YidV56QA2Am2rykdlceXS9AYWuj53Bb7zNNZb\nDdf+HiCqir+DJxqNgc5YI4CeqE5sbeh4mhd/8PW57m1f+Pp88ravfe0XNQisoYWzXZ9nA390l0hV\nvwEOV3COqjr8vNXwJN6TNMnATlXdq6pO4F/ATeW+rygfVcWdpq+qa4BIEWnmYaw3GuXnCVT1d6hS\nQ1UPqupawFmD66sNHU/zUhW+8HVt6NSnt33ha290/M3bPvW1vxQQvpiY5K2GJ/GepGkOZJTb3+86\nVkpF+agqrrI0F3kQ660GWJ2yy0RkrYg86Ob8nmpURHVivdEBz/JSFb6acHcue9sXvvZWB/zH2z71\ntc/eByEiS4Fmbr76S/kdVVURqW7P+QzgOWAJcCNws4iUX9KwNjSA0/LR4Iy2XE81KtMtzQfA88AU\n4H4P4k67RA/TucNbjatU9YCINAaWiki666m1JhruqE6st6MvuqlqVhV58ZWvAXYBu8/wdW3pAPXm\nbV/4mlrQ8Rdv+8TXpfisgFDVXhV95+o4a6aq2SISgzVksDrnLk3fS6y1cRZoudU1a0MDKI3v5Ypf\nXkONTKBFuf0WWE8B5fOBiLwJLPAkrpI0sa40Dg9ivdHIdF3/Ade/B0XkM6zq8Jnm80SjIqoT640O\n6prHUEVefOVrROQa3Pi6NnSoX2/7wtfe6Pibt33i61L8pYmpdGIS1HBiUrndiiYmeaXhYbwnadYC\n8SISJyKBwG2uuKryUWHcGfoDXef6HXDE1SzgSaxXGiISKiINXMfDgGtx/3fw9Frg7Ke56sTWWKca\neakKX/jaax0P4+vK277wtVc6fuZt3/ra097sutyAKGAZsAOrmSjSdfwi4P/KpXsfOAAUYLXD/dl1\nfA6wGdiEZdymdaDhNr6GGjcAP2KNRni63PFK8+EuDngYayJWaZppru83AZ2q0nSThxppABdjjajY\nCGz1RgOrmSMDOIrVqboPCK9OPrzRqU5e6tvX54O3a+q52vbDueLtmmpUJx+lm5koZzAYDAa3+EsT\nk8FgMBj8DFNAGAwGg8EtpoAwGAwGg1tMAWEwGAwGt5gCwmAwGAxuMQWEwWAwGNxiCgiDwWAwuMUU\nEAaDwWBwy/8DG2GtnkorbjQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b4674f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for index, k in enumerate((10,20,30,40)):\n",
    "    plt.subplot(2,2,index+1)\n",
    "    trans_data = manifold.LocallyLinearEmbedding(n_neighbors = k, n_components = 2,\n",
    "                                method='standard').fit_transform(train_data)\n",
    "    plt.scatter(trans_data[:, 0], trans_data[:, 1], marker='o', c=colors)\n",
    "    plt.text(.99, .01, ('LLE: k=%d' % (k)),\n",
    "                 transform=plt.gca().transAxes, size=10,\n",
    "                 horizontalalignment='right')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Rng27H2T844Fr1mho5eRxB40vcwNw67RwXrF/C1VrcWyznXZt23L30q40adsWY18WpqRE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PAqNtuP1K1TizlzXmHtrz8SkZxISNv6VD70Kamr52Ps3I7Fl4WRNQcsXvLjJrJ+43ZSy6Vg2Pbh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\n/wFUztlB0tBfoAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b78f470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for index, k in enumerate((10,20,30,40)):\n",
    "    plt.subplot(2,2,index+1)\n",
    "    trans_data = manifold.LocallyLinearEmbedding(n_neighbors = k, n_components = 2,\n",
    "                                method='hessian').fit_transform(train_data)\n",
    "    plt.scatter(trans_data[:, 0], trans_data[:, 1], marker='o', c=colors)\n",
    "    plt.text(.99, .01, ('HLLE: k=%d' % (k)),\n",
    "                 transform=plt.gca().transAxes, size=10,\n",
    "                 horizontalalignment='right')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HjkD1zjDlWrisXbBFculdUCEbxg6FK+6CF1945pzZ8n9zIcaDqAe8f8L/t/Bf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\nneYqWGazAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x138f0830>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for index, k in enumerate((10,20,30,40)):\n",
    "    plt.subplot(2,2,index+1)\n",
    "    trans_data = manifold.LocallyLinearEmbedding(n_neighbors = k, n_components = 2,\n",
    "                                method='modified').fit_transform(train_data)\n",
    "    plt.scatter(trans_data[:, 0], trans_data[:, 1], marker='o', c=colors)\n",
    "    plt.text(.99, .01, ('MLLE: k=%d' % (k)),\n",
    "                 transform=plt.gca().transAxes, size=10,\n",
    "                 horizontalalignment='right')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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O+/gP82a32yGq738WVcDJa0C5MODqlUs4dOwMAOC98ePQZ8ZbmNYkA7cygXGb\nDZj/fy8+Nt0zZ84g2i8b1WKUz8UNQI4N6JZix4x++xAkH4a/hw0pk8ZgweJlSElJ+V0aVatWxbJV\nq9CiUcpDedRqFL8vzRvXw9lj21AiOBdDBwgYPXYKur3yyhPckb8l/8i6XVD8+OOPGD9+Gsj1AMKR\nm7sSzz/fCRkZmcjIWA/F/V0dqFTHkZBwFNOmrUPZsmXz4q9ftxZqx1W4iSpk2PfCLOiw8V4Olq5e\ng+zsbDRr1hLAxwBkkImw2fZh3bp1zgfT/XzYHAJmvj8dWo0Kny9aAAK4nqZFLnPgcBBqAfByPsU0\nAhBk0OBcznP41Wk4GYXbt/ejdYeOSPjkIyQZgK/vEWPHjUFubi4qVKiKtLQUkNUgYCW+uLcfMeps\nvCoBogCszgXcvd3Qtm1bbN++FwaDHj0HDUZychXs378fwcHBqFmzJgRBgFqtxvnLlzEBiiNAAIjP\nzcWhQ4dQs2bNQr5jhcPT2jDocQ6jKpG85Nzbd4MgCMdIbvvtQQXtM79ZgwY4t20bXrXZEHXnDrrP\nmIHWrVvn/X7ixAlk2XKx5K6ApkYi7iQgC0C2qEXzMBVqWBWTogkxuZC+2IGX2j+P7FwHLu1diW3N\nM3EjE6j70UwMSrIj3Ln7yZsVstFk7YY/zVvHLj3RptlamHSZ0ItA96VAy0qASgAyDmcjPT0dFosF\n/V57Aw6HHT3mz4NOp0Pq7NGoUaNGXjp2ux1TJr+Hzd+shtU3CMWi47H5CLDjBFAuAhizAigRAkxY\nATSrAnwyULFEqhybgSEDeiMl5eGN3+fOmY1pqeOQnn4LdgItPwAmNwMu3AJmbFfhrXo+OHloE74f\nnwtRAxw6C5Tt0x1NmjaF1WrN1/0qSP6Cz/x/ZN3+X7l+/To2bNgAURRRp04d/PDDD9BoyuP+7gwN\ncevWIIiiFoorSgVRVKNt21aIiIjAjz/+iNDQUPz8889Y+MEcHKpMRMp2fH4ZaPeDDdXrNUPdunXh\ncDigVmvgcGRAccEHAPcgiiJKlUtEw6++xPgQ4EyWgA+vS3DQgK/mvY/PimUj3Qa0StPjYEI9+Pr4\nIHjzNxhy9SJe8bDhmzvA0VwRBsMBZGamAdDCYFiMOnVqYNy40WjYoiXOnDmDfiVLIj4+HsuWLUNu\nbiDIegAAoifS2R4HbFqE/gJ4Cg6cdtiRe+Y69h1fDmXXWB2GDBmPsWPV6NWr5+/KMSIoCLt//hnJ\nUBwLHhIOvX/uAAAgAElEQVRFvPyUNvAqjP0g8jvElIiHu+GD8JvJPCjd8NYPfM7rhv/muOEA+j/i\n+wLrcjkcDr7UsSM9AfZQKzb+tQF2V6k4evRoksrcg7tRYn1v0KwBy7iD0WbQz93EOXPmsGKgkfbm\nIFuAR2qDsgacXB206AROqQVysBLqRYAtY1V0DAP5JriwCVipbMknyudXX33FhLhIWvTg3G4glygh\nORp8++23nyiNV3u/worxEpeOAYd2VNPP6kYvNy193UGVAPqYwcblQJOk5tudQH6thCPzwMhw34fS\nWrxoIcNDJG5ZCG7/FAzwAWU9WLYYmJIIJpZU0dNDZtNEkF8owf45qFGBQ4cM+Ws36SmDxw8x/aPq\ndn44efIkPTwCKEnVKIrhNJm8OXHiRKrVPgQOEThPYAUlyZ2DBr1JSSpB4EOqVINpsfhy9Ogx1Oks\nNJmiaLH4ctSoUWwaZiLrIS+YtOqHLAP79x9ISYol8Bo1mucZEFCE6enpHD9+PAWoaFYnUlI9R2Az\nzRottyXeTys1Gny5XVuS5KVLl1i/elX6uVuYWCKG+/fvZ9++r1MU9dRodHz++Y6PXbC2Zs0aGgyR\nBBYT+JTAXGqgokFQE+hNoJ9zuCqaQL0HLJ3aMTY24ZFp7t27l1Y3N8ZaLPQ2GPhK587PzMLvcXX7\nr4T8CoQGwGkoE3la/PlEXiKcE3kAJAAm5/8yFK/YKY84R4EUVkZGBktEhFMD8JDu/kKwGIDlRZH9\n+/dnRkYGE+KKM8gAhkrgm8UVIchpCraN0HJA/36smlSWNYJkvhol0EcPflAX5ADws0ZggvW+QHRN\nUDPQx421i8tsX0ait5uRu3btysuPw+HgrVu3Hlt5srKyqFaBaR+BS/qB73cCKxUD46Ij8+KvWbOG\nPXr0YJWKpVinVhKXfPYZSWVSWq/X8MZXIHcpoWl1mZUqlGN8lJE9Gmro46Fjwwb1OGfOHAZYJe6c\nCp5dBNZNNLBVi0bcsGFDno+bpo1rcuF7IE8qoW1D8NV2II8q4cJm0KBX5jR2jQVzl4AjWoERfmCv\nHt145cqVv60Z7B8IxD+mbueXOnWaEehJwIfKYrShBMwUhBLO7xIJSFy0aBEdDgenTp3GatUaslWr\nDs6HrJXAaQIksJImkxeD3CTeqKk80HckgXq1ijNmzCKpuKOZOnUqRdFEjSaCarWR06fPJKmM8+tE\nI0UhgcBMCniebloNJxYDPy4Bri0LDiwisG/PRxtk/Irdbs8zUf0tDoeDBw4c4ObNmxkYGEEBZQh0\npKQKYDcvDc0qkcBYAhOpmNeWoWKK+6tAtGBCQsXHnjstLY3btm3L8/T8rHjmAqHkAXWh7J51CsAg\n53ddAXR94JhU5+8HAZR2fhfubHQHABz+Ne4j0s9XITkcDo4fO5YWUaTkNGe99YAriZqCYnEQ42lk\nsJ+VMe4iMxuBSR7g1qrgxJKgQQ3qVGCQjxsvXLjADz74gAml4ti/nCIOHACubQF6GgS+liiwQrCK\n3hYtX+rUjjNmzOCsWbN45syZvDxt2bKFflZ3ygaRgf6eD03uPUjxyCAGeoJlioIvNwAtMhgc4EWH\nw8HOHZ9naICeHhZw0Rjw8wlgkL/EJZ99licQvzwgEM1rSpw3bx6/+OILTpgwgV9//XXeeeZ/8jEj\nQq20epkYHurNYlEyKyWZGRriw9OnT/OF55tw0uD7AtGyLtik5n2B2P1/oKcbmFIRNOpBtQosGQGa\njCrqDRq6e+hZtlwsL1++nK97WRj8USP6u9ftguD8+fPU661UnOm5EfiCQBoVk9JcAj8QWEOjsSqX\nL1/+u/ifffYZzeYmTnFQgk7nzn69etBH1jLBItCg0hN4h5JUhLNmzWFS6ZIUoCew2xnnEA0Gj7we\nxvfff8/ikVF0M/myTOlEDhw4kLIGbBYMFjODbnrNn5pVX7t2jUePHmV2djb37dvHxMSaDAsrwa5d\ne7NGjeeo17pR0qgoAtRAxVi9loN8wbbuoCSIVKlSKEkBNBjcCFR3lkcygRSKopHe3n708wvl8OEj\nabfb+cHcuSwdFcFigX7s8tJLeZaBBw8e5LvvvsuZM2c+dVf6fwuBKOyQ30a0YP58RkoSt0JxjeEB\nsJ8aPKsDPxOVBWDFdKCjCphkEdg1DGRTsHcEWNUbDDOBZ18G7f3AnqXVbFy3Jklyw4YN9HOXuKwJ\nuL4lGGWVOHzYMFZKKsPS4SI/7gp2TxFZrEgw79y5k5efmzdv0sfLxHWjQK4BVw4HfTxN3LJlCzMy\nMh7Ke/9+/Vg0CMzdDHI7eGQ+KOnV3LlzJ8ODZbZMAee8CfKAEj6fANaplUSS7Nn9JVZJkLhyPDjy\nZTUD/T157dq1Pyyrd98dxwZ1DMy9Bjp+AUcOFFi5UgJXr15NL0+ZQ7uDw3uBbmYdjRL4fH1wVG/Q\n20Px6KnT6ikbREp6UDIKFFRgZLSaX31vZvfXjazfsEa+7mVhUBCN6H8NfweBiCuRREE3lDDmEtIu\nKk7z9lLxe5RGCCTgoMlUnmvXrv1d/P3791OSAghcdT7st9Fo9KTNZmNiYk0CAwlcdKbzOf39irJR\nuEiTGPiQqFgsidy6dSuzs7N/5w/Jz8uN2+uC7ADmtANL+0lctmzZY69p1PBhNBu0jPAyMsjqRUly\nc/YG1lEUa1IQvOmn1/NwTfDn2qBO0FJW+dGsslIvRFGl0tLNKLNEsUiuXLmSJUqUoU4n0cPDysTE\nStTpLFTMd7tRkkLY9vm2DDNL3BSmmMKHaEGLQc/U1FR6SRJfFkXWMxgYHRb2OzcehUlB1O1/vauN\ntUuXontGBqKg2F2MBfCRHYjJAYY5gD5mwFcH7LoNHL5HLL8EXMwE3okBfrwNtC4OBJuVSeJBZe3Y\nsWs3AKBmzZqY8eEiTLkcj+67/XAj04FJk8bj+/37sLpvLtpVAqa9mItA402sW7cuLz/Hjx9HkJeA\n2gnK5wblAYP6Dl5qVw8lYovgp59+yjs2Ni4OJaK00DhNCYqFADYHcOHCBRQLU0MrAjm59681JxdQ\nq5WDJ78/E/WaD8L09Uk4k9UU277dC29v70eW0fr16zFi5AisW7cCNZMzoVYD+w4AqfOIC1cO4MV2\nzdCkaXNkS31xT9sHW7btQUxsNCABx64Ct+9qAQxAds5I3MusBYcgYPRsdxzKCMDLA8zo0OAuWr+k\nxrZt251uE1z8HcjOzsaRw9+B4khA0ADq8oCmFoCVANwBVAY4Ezr9CwgOJqpVq/a7NOLj4/Haa6/A\nYIiFxVIJstwEn3++EGq1GlarD4AAQPB3Hv0LsjLvom1oLmyOG1A6XQBwAtnZJzBr1oeQJBNk2Yxm\nzV5AdnY2HA4Hrt28jXLOqiuqgDKexKVLlwAAK1euRFiAD2SDFg1rV8fy5csxe8oEJLnnQG+7C3/7\nDdizMqFs+huF3NwZINMwtGgWYsxAiAx8Vj4Hgj4LgolQ62+gZaADu8rdQ3fdKXTt2A5ff70W3367\nFVarH/bu/R7Z2bKzfHyRkZGMb75chbfMGahqBCrKwBQ/oAizMLxvX0zJyMALublomJkJnwsXMHfu\n3EK7n4VCfhWmsAPy+ZbVs0sX9lKr8xyEjQNoAdhGAvuYBZpU4DclwDgT+HkdsKgbqFeDPnrQQwdW\n9Fd6D+wPLm0Ilipe5KH0ly9fzogAiUfGg9dmgdVjwN4pIOcroVF5IxcvXkySvHDhAhPLxlIlgFZ3\ncNlQ8MInoJsRvLwaHNtDxTq17o9tHj9+nF4eErdOAzO/Boe2V7NC+RI8f/48vTxlTnkD9HYHUweC\ns4eBvt7S7xwH/hkT3hvH0DCZ/YeILFpcy/gSKqb/DEZFgrM/1fE6jVz2jZ4Wd4GSrGLVauV59OhR\njh49mp6eetauBarV8by/4vYVBkeoeZKBeaFonIb9Rxro5athrz7d8nU/Cxr8h3sQDodDebuWDhIm\nEsYcQihKqAIJ8xhC15SRUfFs2rQ5GzRqw67devPcuXOPTOvw4cPs1u0Vtm7TgbNnz6Hdbud3331H\nnc5ExVNrLRoMHmzWsD5fjhFZwl3rnAAuSUCmv38EDXISoU8j9PdokOuzX79BJMmKZUpyZGk1He3B\nI41BX4vE/fv389ChQ/Q2S9zaCLzVEexZUmRsZCg9dYpDywNNwC5FQW89WMpDpqQJIbCRgJbdw1R5\nTjI/SgBrVSrP69ev02LQ0t4AZEMl1Ak18+OPP6bZ7EXF8+z7BOoSCKKyDqQJg7y8OcEXeWul5gSA\ndWXQKAgcAsWleCNBcfRZIeHRk9uFQUHU7WcuAH+awXw2onPnztHfw4OtdDq2F0WatVr27duXb7/9\nNt966y1Wr1iBviYD9WrwQgfFNfbNvuD5nmDG62CwRcVS/jq2iDPR283I7du3P5R+j26dObkdyMVK\n2P8O6GsRuHkwOK61igG+HnmL6SomleTQjmpmbwN3zgXNMuhhAif0ArkLPLkEDAnyeij9L7/8koH+\nHtRoVEyulMALFy6QVIa4Av09KQigv1Vmo/rV//KCnNzcXBoMIn84p+NNGng1R0d/fw1lWU1BAK/Y\nZB69JtPHV+C7H1i4/ZwPO74q0yALVDZ4UdNsNlOj8SYwyikQLSibBO696c+TDOSeG36UTQLdvFR8\nZ2Uk/QO9/jxjT5H/okA4HA5u3ryZCxYs4LvvjqckWWkwv0SVJpoQk4hAOxFEat06MCWlHiVzUcJn\nHtVeA+jpFfi7lfc2m43lE6tTK5chDM2pN8axXfuuHDVqLPVyJGGaQJXUgsEhxXnhwgXGRkVQELwJ\n6RwhfUtIp6lSuxOa9yiI02jSBdCodaefNZAZGRk8d+4cy5WMoU5U0yTp+fGHHzItLY2tWrVix2hN\nnkfjzJdAjUpgCXfkeT62dwZ9DeDPrcAOkWpKWjdGRcVRUgts6i+wSxjoYTTwm2++4Z07d2jQanij\njiIO9gZgKauRI0eOpNlclsACZ5jPX/exkCQL582bR3eDjkO8wZE+oJcabO2uZriPD/UA92uV+c6f\ndMrL6ZIlS57KfXYJxBNy5coVTp48mRMmTPjd5JbD4eDp06dZpXxpDiqroiyCp14BORi0DwITw2QO\nGTKECxcu5NmzZ3+X9rAhg9m1lpgnEAt7gkVCvBkfG8nSpWI4ZcoUZmdnMzs7mxqNirZvkTdx3DpF\nwwAfDe9tVj6P6qpmvdpVHnkNj7MCys3N/Z/L5c6dO4q1k13PmzTwJg1s1NzCGTNmMKKIH2d/quOC\nlXpWTtHy0B0rP17vwYXfuFNvAEWdSIuXhiHFdBS1Wmq1HrRYYqnVypSMavoGqtm8k0TfQDWrt3Ln\n8qvxTN1enEWKBv3P+S0M/msC4XA4+GL7LpQ9omgKaUWD0ZtjxozjjBkzOHr0aBokT+o8ulPyaMqg\n4KK0uPsRwUeIIiSKkDrP9pw8efJDaW7dupV6rZa+ZjVjfFWUtTqqNTpqtTLhc47wI+HroNGjJj/9\n9FN+++23lI0xSq/FRMLooKgNpkpTgb5GieueB8v6g3oNqNWo+NbwYSTJe/fu0W6388aNGwwIjKSo\nL8/S3hrauyoCsb856G40MNgI2jopAnG7neLo8mpb8JNkMLl8aTocDu7fv5+DBg1iuXKVqVbrqdEY\nmJLSmP169WBJH5nvRoP1g/SsmliWGzZsoNEYRuBjp0BMo0olsl+//ty4cSPbNG3ImLBABnm5USeA\nsqhhZIAf33jjDXoJ9w1i0vVgKQGUBOGxPbGCxCUQBcjFixdZtkQ0Za2KXgZwQAUwpajE5KQyf7jx\nx/Xr11kkzJ/NKxj4Sm0d3c0Gdu7cmW5mPTs1kVgpwcjkymWYlZVFN4vEg/MVMcjdDiZEG1mjWiVa\nvQwsFm5isahgHjt2jHv27OGxY8eeimlo5SoJ7NBNzy691axeR02zWc9z584p9txWM61+Av0CVQyJ\n1LBkRQOjSulokFWs3NiD07ZGsd1gXwZEaKnSgO3at6OHj5ELLydx2LIYln3Og6JOYN2OVnYZE0hr\ngIkLFi4o9Gv6K/zXBGLLli2UPSKJKneJaiTKHqReMueZhB49epQTJ07krFmzeOvWLZrM3kTI2TyB\nED27c8iQITxz5gztdjt37tzJEnGxtJrAWa3BIbVBb6OyBkalEgnfTEUg/EjZsy0/+OADZmZmMji4\nGNXScEI6QI00gKFhMfQ0SZzXAGxWHOyTCNpHgJdfB4v6Pewk84UX2lHQtieM2ZS0ZVjOR8dXYgT6\nukl8/bX+NGmNrBUg8P0ksJQn2CwUTG8HVgqWOOWBfapTU6dRkhIJXCdwl3p9C3bp0puLFi3iqz17\ncNLEiczMzKTNZmNycopz/UcTynIQhwwZzuzsbMZFhXNAjIZ7aoD9o0VGBvvTTdKxa6jI2v56GgB+\n5NxfZYNW2fq3M8Cy0dGFfq9dAlGAOBwOTn1/MsuUjGTJ6FC2btWKs2fPfqKtA9PS0jhz5kx26NCe\nnu56VogXaPUEh3cF7fvBGokyP/zwQy5cMJ9WL4ldmhpYLs7IhvVrMjc3l6dPn+bBgwd5+PBhhob6\nsEQJM/38DOzYsQ3tdjsPHTrEylVKMzjEi02b1eHVq1cL7LpPnTpFNw89m3Qyc1CqD0MijRwx8k3O\nnj2bEVGBFLWgbFKx3UAf7mQp7nCUZI2WbnxxkJXbmcDtTGB0eYmiXqCnr8Qytaxcy6pcy6pc40im\nzmAgUJe+fgEPmdb+XfivCcSiRYtoCmmhiIMzaPUm3rx585HH9+zVn5J7ZcJ/E+Ezk2qNkR5mLf29\nJRaPDKbB6EeTJHNnf+T55upWSdlQKKV2E+oszxNehwnLJzSavPN64efPn2dK7aYMDIpmvXoteOnS\nJXZu15bDkwUGmMCf+iLPPf1b1cFBAxSndytWrKBa40boxjt7H9mEdjTNFh/u2bOHR44coaQRWL8I\n2CEOfCHWaaauUbNb5w4PrY1o2rQdgdkEcpxhM4sVK//IcsjJyeHcuXM5dOhQrly5kqSyKC7ax0SH\nc+GsozkYYFBc5WsEMEivbCjkLSj70rsDXADwIkCNSlXo25K6BKIAmZ46lcWDDdw0DFz5GujnZfhL\nY/pZWVm0mA3cvxTkUfD6DjDACh74P7BfOw3Hjh1LUrHxnjZtGpcuXfq7hTzJyQl8b7zArHvgL9fA\nMgkyZ86cSX9/d06areW+Uzp272dg+cS4AutdzJ07lzWbePMgo7jpWjhjyumpEUGVCvQP1zKqtIVG\nNwOnbynCnSzFnSzFYR8Hs1oLN7Z41Ur/InoaPTQ0mFQs18iLWknFuSfKceHlJPqEeBAwEtAxKenh\nPSMOHjzIDh07smPHjjx27FiBXMv/wn9NIPbu3UuVaCbK7CeqOoioVAaFFntsfbLZbBz25ijGlqjI\n0PBYJhbVMOv/QNsSsE1lUO/TnEbZg4cG3xeIN2qCoqjnnTt32PaFl+kfUJSlE5L53Xff/WHeTp48\nSaunmSEWcH4zRRxsI8A6xQ2cNm0aSTKhTHXCOIRQhRLSD4R8lSptLXbt2ockeejQIYZ76fIWrHIw\nWCrQwClTpjAmJpFWawRffLEL7969y9dfH0Sttj2BbAI5VKneYe3azXjlyhW++urrbNWqIxcuXPRQ\n2djtdr733mTWqdOMzZs/zyA3A3OaKQKR3Qz00oKHaoFXGigeGIrIYCXngtyfnYYyX0PZK6KwRwhc\nAlGAlIwO5cYhyJtLmNoB7NSu1RPHv3DhAq3ehrzFYzwK1qsCTn4D9PMxPHYx3INYrWaePglm3VPC\n4EFgq1atWK2WW94cwS8OPT099Y9cdGa32/nJJ5/wjQGvcd68eY9dSfogqampbNbZhwcZxWqNjaze\nyp3uVpHxNSz0DNBSb9RSqy/P6i28uC23JDfdK8HYJJlmTzXjanpxwo81+MbqREoWkRU7hFFnVFOl\n1ivCIPYkjA7C+AtlU0l++umnJJW9J2A0ElotodEQhvv7Ujxt/ksCMWny+9TojYRKJEQzoTJQ0Lpz\n2LDhTxQ/oWQk5/dBnjuVTW+BFs9Yih71GO2n5qbe4McvgpJeIgRV3t4Qf8TBgwcZX6YKvayhfK5B\nS+7bt4/dunalRdbyuViZpUONrFE5kWfOnOHHH3/M0LBowm05Ib3qtIIyEIKZr7+huHQ5f/48PUw6\npvVTxOHua6DVoqfB4EHISwjzUQq6xoyMiufVq1cZGVmKJlNFmkx16OUVxH379tFqDaNG05vALBoM\nRdm8eSu+9957XLBgARs3bkWttiSBiVSp2tFd0rNukJ6zEsAq3gJr+CCvRzE1HmwfDGoF0FcAIwG2\nUKnobTBw0cKF+bmVT8TfQiCQv01VniRuoRTeb/FxE7nk1fsCMbI5GB5ifaTK37p1i6mpqRwzZkye\nW+vc3FwG+Htw6RRFHA6tAGUJtJgN/PCDJ9ubtlq1shw3RsWse+CNq2Dp0jKHDRvG6FgTr9uUieRT\nN/SUZZHp6em02WzcsmULV69ezRs3bvClLu0YV9adPUd7snRFd7Zq0+RP31LOnDlDL28TR35gpbu3\nmiHRBg79rBjXsxK/zKrA0FiJQCvqpXAaZC21eoHeVgu1sorv/1SLi9mYi9mY9V8rQrVGS/9oXxos\nbgSCCfmUcxggk1A3YcWKlfnll18Sej0RWpR4fRjx3REiPIIGs+Wv37QC4I8a0b+lbpPkypUrKXmH\nE52OET3TiPD6hKUoEdqardt2+tP4drudBp2KbSorfrYcS8Hez4EGSwwRvoxqrTct7tE0eVYggmfS\nZPH+Xd1zOBycPmMW6zzXgh07v8Lvv/+eFndfInQOEXuSYkBvxidUosPh4OXLl7lkyRJ+9dVX3L17\nN00WHxr9W1HnXoGC2o2AmzLsVYRE2DUajP4cO3YsV61axd7duzA2QObACiomBMusUL4s9ebOhDuV\n4HabgMiGDVsxIyODq1at4tKlS/nLL79w1qxZlKQWzgV8mZTEYizrD3YoJVAW4bTe20vghDOUok4j\nMDLw/9m77vAoqvX9zuzM7M72kk3b9IQ0EpLQQw2hhd6kiaAoSlUQUAEpKgIq4gURAZEiRVFBFFCa\ngjQB6TWAUgIIoYdAenbf3x+bG+WK96pg+anv83xPdjZzZs7MOTPvnu9853v9GBMewlcqgV+lg99k\ngN1DwEGRoEUC34wCdbLEqVOn/m6p8P9wgsBdiKr8nLL8HR8ig16hSQdOegB8rgPoYwYDfCRu3rz5\ntv2uX7/O2JgQdmyjcnAfiU4fPVevXk3Sqx7nCrQz0F9Ps0nHBfPf+UXDyG+//Zahob4MDNTRbJb5\n4IOd2LlrO5rMImvV03DUeIkJlYx86umBLCoqYpOM+oxOsLF2Yz86nWbaHDpuuxnF/Yzm1wVRDAgy\n8uDBg//1nF988QXDwmKoKAZKskJFFbjkag2uZR2uZR22GxRIjWwg8AhluRoTEyvTz+VDZ4SBz22p\nW04QNTuGExhBSWlKjewgUJ/QziCMhYSUSljTKIQM9v5yDahONJ5JxLUjqtUjRr1IqH+MPONPPUR/\npb6dl5fHoLAoov5EYii91nQOoXMQqg8DgiP/ZzRcSUkJJUlkkFNgiFNglEumQaehavShIGqoqA7q\nzBVoct1HvdGn3E//QzwzbBRVRzIR/y414SNosvjQFJBBVKXXqripVa3Mzs7m+vXr+cknn/DSpUtM\nqVqPCJ1HpJBI9lBydCAEuXziHCHHqdcqbJygY+0YEysnxnDRokUcO3Ys33//fc6ZM4daQ5PvCcJ8\nlBAc1GhUXr9+/bY6vv7669TpepURxGzWCdaXJ9xc2+3fBLGvnCCMck3ObwF2qKhj6+bNqJfBOLs3\ncsqpBcP1oEkCLTqZS5csuaft+r/wZyCIXyuq4v9zyvJ3fIgyGtelIoF924EDO4FH3gM7NFS5cKE3\n6ubf4XUvvfQSH+iokJdAXgI/fRdMToosP05xcTGzsrJ+lDbj52D79u10OE3M6OBgSk0rA4JsbNbR\nyvVnXHzwSRONZonjxo3z/hJ7803WbuLg7pIK3M9o9hnjoJ9L4X5Gl1tcso3tOrTmQ490u+N8yqFD\nh6jXWwh0JtCPQCQlrcLuz4Vwjac2F1+oTv9IlSkt/amatAwOjWDN+jXo63Kw+TMxtAXq2HFsLOt0\nD6OiBtCbt2d+2SKiQwQCvQuvTDW8/u5a5wnZRAzM876kBpcSAfFE9VQqfz6C+Ev07dLSUvoGhxGy\njojr5r3vD+4ntDai1QdEt68J/+ocMHDIj8pt3LiRTz31FB/u1Yfjxo1jw7TaFBULUfsLot4Wouk5\nQqPy6acG0e1289FePWkxq7Rb9Xx66MDbXJyLF79PaFTvi92eQdS+TMWZRq25IlGl1EsQSZcJQabL\n18TYIIVNq5jp77TQxy+CiD3sJYgUEoETqVVthP8yIoo0mGvxlbYg3wA9U8EeqVqOHjmCJDl9+luU\nZS0BPSHfR6gTvPMXptcIKD9KP3Pq1Ckajc6yyeu+fKK6lxw4GrwyFBSgp1foaC4FPEGHquWVJ8DP\n7gPtBoXvtwQ5BLzeH3QZvaqND8WCZlW5p8ElPwf3giDuNtXGTwmm/Jx9An9G2d8N7yxcAoNBRuU4\nYPJg73eb93tTCezYsQOhob6IjAzE2LGjEBVejIIC4MQpIDgQuHjxKqZNm4aPPvoIoigiJCQEqqr+\n4jo8PrAXhr+uxb+WGLHoKzPC4woQlUgEBEsY9podXfqYAHjFeU6dPoHK9QFJ8soRZHQx4tZNN2aN\ny8G5UyVY8FoOsr69ATV+L4wp23B/j/ZYtmzZbedbtWoVSkriAcQB8AXQDqIIrJ57Ce1s2/FQ1G7U\nfTgcT35SC8WFxQhvq0fEwyrM4TpsnJmF6Lq+WDU5C1sWGFBcsAqAFaK4HrJ8EwbDWOj1SVB1FyBb\nKwKCAOR/C4gaQCqTUxE1QKkG2L8X82b/6VIQ/CX69v79+3Hp3BkgsRlwbQ/wSRtg1UNAwsNATEcg\noOHbEdsAACAASURBVBrQYhEWvru4vMyWLVugmp2o36QtJs78CHPmLcCzL0zG+i17ANkC+KYD9lqA\nbITBbMXbs95EeloqlnwwDyG+BXjt8Xxs+XwWXp04AQCwZ88ePPzYE0CtTUCzG4A5Gjj6IAQ1GIFO\nQD3bGrgwAThaA1H+HsQ4b+LQy8VYPTQX49rdgKc0D7j4POApBkrOQ7j6BoY9/QSsRf1guhIDqWQb\n6kd56y4IQO3QIpzLOoFNmzZh8FPPQSMAo5rmQ/J8AqF0CaDvAdWzHJIkQxRvfwWGhYVh06Y1qFNn\nGUJCNmLRYQl7LwB5xcCQdQp0Uk0A2QBGwiC/ja+7F8GhAuvOSsjJL0a7snpYdUDLSGBCGnA0FzBq\nBWRnZ//m7X2v8UcLBv0s/B6iKr6+vtjy1T60atEQw6bnoLiEmDZtOsLDwxEZGYhX37iFlm1EzJjq\nwdiRwOS3AKNJwNUrhEaTix0HR+LQO8SChTWxdMlnEEUROTk56Nu/J77auhX+AX6YOmU2qlev/pN1\nuHAhG5WqKwC8JFCtvg4njnhzF5FE1nEBKY2tAIBqVWtg1NjZuK+3Gxa7iI9n56N2rTr4ZiuwbOZh\naHUyGvf0x0MvhHqvL1SHV15+Ae3atSs/n8FggCTlo6Q8n9NNKKqE57fUwqDo9Zh6vgUMVgVXz+bD\nXSpi05RjEDVnYHBKKM4rRcuER9EuRcbs2e/h7NkuIAXYbEVYt24zdu7ciePHj2Pm3J24/t1iwN4V\nuDAdUPXAut5A4qPAyZVAzkmIogZdu3a95216J/yOgkE/C7913y4uLva+NYMqAQ+/A+z8AFj2LFBw\n+fudCq/iRu6tcsGfJhktUGKMBdp8CUgqsPcV4OwXYPWXwRW1gSOjgPNLgPws5MEN1eKGWLwTWxYR\np84BPUcAzz2Sjw8/+wjPDBuJTZs2we13H2Ct6j1f3DhgtQNajw3PT5mIZcuWITNzEQThFCL9iJqR\ngKbsvd2gIuB57zoE937wgAkQRAjmRFy9fgvnvzuBU6dOYdIr4zBl80eYF1yIW0XA7F16PDK0ATZv\n3oxCXVMEaZfiodQiTNtcghqhh5Fb+A1UuQDfeQJgt9t/dM9SUlKwefNnAIBFCxYgY1B/XL1+E1pJ\nQEHpQUBIAxiLEryKzmuMkDUCcgQ7YiKIxcfOoHs8cCUf+DwL6FwRsKnAM1+6ERER8aNz3Uv8pQSD\nfk5Z/o4upn/D7XYzOzubly9f5mN9HmKl5Ag6nBIPnZR5o1Th6csyVT34yRYDL9DCFV8ZaLULPHjV\nxlPFdiYkW8qzXjbJqMdOvaz8/Ft/vvaunT5O0x1XUK5evZrNWjZgaKSTqQ0NPFgSwvVnXAwO19Ns\n0bLnEBsbtbEzMSm6PDOsx+PhU888Sb1Boc2hslqNSrelQOjdrxcfezWsfC6h75QIyoqBqmpk3boN\nmZ2dzZycHAYFhVOSUgg0pKIa2XtWEjs9H0PVLLFCLQdbj4ihyUehRrYR+JRegfohBFS63W56PB62\nbNmJihJFjepLiAJlk56166TT6LCx4prxDHutt3eIL2gInYnQ2wlnOBEcT2i9eXX+KOCnXUx/ib5d\nWFhIjc5AKAYitRvR9CnC4ENYgonKA4kGkwnVSVRsx4TKNXno0CHKBh+ixniiL73W7QRhDCF6kYKj\nEiHqiJqvE71ItNtPyEZ+Pgfl0XvP9AJb1AbbtW7M7Oxszp07lwZXfaKlm2hFovZXhEbP5KRERgYb\n2L+dwjB/ULUEUOtTieFOb14z9yLwiQzQYtQSyauI9EKiYSmR+CHTm7Qtv8abN2+yVUZDqlqJskag\nVhIIjY7xFStR50ijVlY5vhXYuzZo03sFs6JCA/jNN9/87Ps4f/4C6nT+hPASIUykweDDXbt28fPP\nP+e6deuYl5fHffv2McjPwQibhmYFHF0b9AwHu8SDPR/s/ls073/FT/XtX2J3SxB3I6ryP8vyDyAI\n0vvybdAwlR0esvH9rU72G2licKjAc9dlLlulYWikyAu0lFtiZZHLt5t5jg6262rn/PnzWVBQQEXR\nMLPEVZ60rmVnHy5YsOC286xdu5Y+fkaOXhTOF5dE0O6nUJJE6nQyX3r5Re7cuZMTJkzg9OnTb0sb\n/m/cuHGDFy5c+NFk+ObNm+nwNXLkh7EctiiagiATeIDACGo09VipUlWS3vTjY8e+yPCICEqKSJOP\njlqDwqjGkUzoEElZlRjfLoqSrk0ZOcwg4CCg0OFwcc6cOdTrI6gxJDB+TAe2vzWTdVcNpkavp6A1\n0FQ/idrYEEJSvaazEkan1ydevQmr1Kr72zbm/8B/IYi/RN/2eDyMq1yZqFyVwqgXibBwwh5OjP6O\nSB9OpPb1EsZjX1JvtvHq1auUFJVwJBO9bnkJovqLRFAG0SWLkAwUNArxiMdLEL1IIaQ5R/f7niC6\nNAdVncyIMD867DoaDArDoypSclQngh8mtL5E1Teo0wq8uATkF2DuCtBqUYnGh6j4pVLWgGYVrBED\n2i16yq5ORHoJkV5ENagNhw0fzX379nH79u0sKCggSXa+vwfhSCMyrhMNTxK6UBot/tTrdEwIBh9K\n8x4zwKbhmjVrftF9LCgoYOP0OlQkgQZV4lNDBrO4uPhHoeR5eXlcsWIFA5w2ZsSZmBCo0uXv/Nlh\n5/cSfzhBeOvw60RVfqrsHY7/G92+n8b58+dpd6g8Wvr9yz0uWWZqbT39A1QaTRK/+sbIC7Rw+wkT\njSZw+2krP9psps2ucsKECZw2bRq1WombzvrzGwbxuMfFqrVt5Xnsx7/0Ig1GHfUmDYfOCClflTzu\nowimNap5150pOzubw4cPZ8VK0YyICqZWm0DgxTJ7gYCmXADG4/HQYLDSqyQ2lcBCKkYXH1ndmnqb\nykqdo6kYQstGEHZ6RWWuElhAVbXTYKhJUWdgR89cduI8duI8+qYnURPkT79lkwnVRHRY7Z0g7bCa\n0DsJjUzIyo+iSH5v/LeH6K/Qtw8cOEDZz59C1lWK2beIQc94R3BNxhBD9hMNniJ0ZqLFJKbU8JL1\n61PfJBSLN8rJEkXIRsJRmZCNjIxXCFEh2u31EsRDeRRNwTTqwXGDwO5tQF+nkdEVXJw6WiC/AY+v\nA/2cKi12X6LiM0TL/UTrI/Tz0ZZL3fILMD7KQtTfSNT+lCEBJmYvAj2fgq1rGxkTn0LV5Eed0cn0\nRi1ZP70ZDY5wmgKTGBIRy3PnztHuG07U/do7SmlFInEaBUnPOJfAksUgPwQPvQZqZfxsXYYdO3Yw\nIroSNbJKq8XMA+PBg+NBp1mkLInUKhKHDBrwox9oV69eZe/HejHArvDxDA2rR+vYvEn935Uk7gVB\n3O0cBEiuArDqP76b+R/bP1b3/omyfwbIsoySEg+KCgm9QYDHQ8CjolH6QLSZ0gZ79u5Cq9TBqJik\n4NC+IgQGBqN25HfwcZqhNxixevsUGK0iFJ2ELrVz0fkxCYd2ipAYhmbNmmHJkiWYNW8S3j4cj9nP\nZsFd8r27u7SYUGQZGo3mV9f/wIEDqFevITweF0g3fHy0EIQrUIyzQF6HAB8U5wHduj2E8+ezIMsy\nCgpuAUjGv13q9IQh+9BVeAo9OLHmHDRaGcjrAiAIQP2yMzVHQeEwSOp+sNSN/KwrMIQ54S4uxa1v\nz8E+bggklx8ESxAY3tRbJLwpYAoCinIQEhQEq9X6q6/zt8ZfoW9fu3YNJXoDRK3W+0X2RaD1UODb\nncB7HwD2YEAQEHDwTXzwhVe3xONxQxSK4fG4gYrdAVGCuPNFTJyrQ+tuVvTvcAXrVtQF/esCOUfg\ncRchqbKEK6WlOJIlon5aAyxb9in6P+Dt1xXCgIx6Ir467IdcfQBoqwSUFuJmPvDmcqBnU2DFNuDU\nBQIVQiHu7AqXXxEAYNlXwLajwO69n6CoqAj79u3Dus+/wII1p1GQcQwQZeQfHI1efQbBZDTg2o19\ngOwAjo8CcnYALEVcECGVPU5xLsBDEdp/348f4L13F+GjD+fDYLRgyNOj4OfnhwaNWyA/8U0gsRFy\nv3kdbae+go6V81El3IOlTwIFxR40e3UOZlaIRZ9+/cuPZbFYsGD+OzjwUgki/YBStxvxQzdh8eLF\n6Nat22/X4PcYd00Qf0X4+PigXft26N1iNVr3ELDtc8BiCMeoUaMgyzKqVKmChumNsXjxYkSEHkOA\nfyD69O6LN2e8gW9yFmLwm16BlIqzZHzxtgliTmP4m6+gfrUYbN++Heu/XIvmfSzwC9GiTb8AjGx1\nFBAArU7EnFHXMGfW1F9d9927d6Nr14dw40ZtANUAEMXFiyHIZ9BkXCriWqXj67cO4avXr0EQzDh5\n8iSCgoIgCAogLAfYGsBZlBTswdaJMl4cPw7rNqzDpQp50NlU7Hjha3iKLwNwAvgOonIDtooBuJV5\nFeuqPo+gDlVxZesJFOUUwFapAiSnHbx5Hrh1HjAGev9e/xbQKJj0ysv3oLX+wX+Dj48PhMsXwddf\nBZq3BrK/A84eAUZvAGQd8HYf1PED1q38BBs2bEC12vWQc+UKtDGV0TrjNM6cmIXje26hxwgZrbsZ\nAAAdehqwdd115MW3AnyeAfyrYs+8UFSMu4ECGLDq869gNqnYujsPdaoCefnAhu1u1E9PxsUV44Br\nq8HCqwgIjcXbG/Ix6M2TsFv1KC4sgGZdNDp07IK8awoqDtiFoEB/fLx8PiwWC5o0qo3C3NP47qqA\ngoiXAFEGALgD2yLz6MeYMW0imrVoD2i0QKXBQMKD4O4RWLNvN7YeBapGAmM+APx9TD8iiLdmTMfE\n8UPxfJd8XLguID3tM7Rp1xX5ShQQ0hEA4IkfjfPLJ+GLI8CrDwB6rdf6p+dj7ca1txFEQUEB3O5S\nRPh6tyUNEOciZs184/8VQdy1i+m3NvxBOfNLS0s5ecprfKDHfRw95tnb/P+HDx9mgMtJvVnDnhPC\n2bJ/IHV6DWvVrc6h0793F83cHsukKjFs2aYpE2r5s+3gCPqHWNmsRVNmPBjI9Uzleqay2wgXg0Id\n7NS1zS/2jf4bHo+HvXr1pcHgS0EwEHj8By6l6gxK9ucEDuIEDuJ4z0DqHXoqisrLly9z6dKlDEsN\np6DRE5DoFWpXyoWONmzYQIvTyrTXWzGkSTwBGzWGFtTofVhpYjdWfKEddQ4L23XswPj4BEJRKDZt\nQCk6nM5546hLr0VorUR4hvevYuIrr7xyT9rpboG/eKqN/Px8KiYj5RrJhMlEJFQnarX0uv0MNgp6\nM1etWsWTJ09Sb/Mh2o8lJC1h8aekV/nq2hj2nRjE5FSFu64Fck9OIFNSddSZzcRwlptiD6Q2rDLx\nwGdEw3EUtQaaTVq2bGiiwWKk5BNFfbWeVG3+7NO3P9esWXNbKo6TJ09y/vz5XLlyZbkb5sKFC3yk\nd382btGBjRo1YI8WWnq2gVMGg5J/DeL+AuIBD+XEIWzdvitJcsSIERRDmpXPj6BHLgGBslZLUQT1\nqszEhJgf3aeE2BB+NQnkZ157pqNAWWckTFFEp0KiK4m25yloFIb6CHypK8qzLvRvKnPIk4/fdjy3\n202rQeSwNmDuHHDNcNCgBWtVT/wNW/t23Iu+/c8I4ieg0Wgw8IknATx52/dutxstWjcF1FsYMbsi\nqjT1hskJgoDPZu7E6fMKopJVXDhVhPcnXUK4f21kntyDV3YnQZJFtHiiAANi1yMiMgQjMk7D6ith\n5+qbWLNqPapUqfKr67tx40a8997HyMsbAOATAFsAtAVQAJ0uC/nXilBa7IakaFCUW4zi/FIokgEa\njQaqquLSsVwAXQE8AkAFMAFr125Ely5dkJaWhpUfrcCMOTPhclXGnqR9yA29gLhR/XH+s0M4Nmkz\n1EoR+OTTzwC9CaiYDE9uKVjsQc6nO1B65ASQ9jRgDoRux0VMHdUPvXr1+tXX+g9+PlRVxdRJk9Bn\n4EBoQl1wnzoKuA8CggZ48AnQ4Yups+eix33tIUTWANZOBkZvBiKroTRzE55uk4Hq6QpOHCZq+mVD\nAPDgQw/g4vmvcGHXZDDxEeDEKhTnXAYe2QsYfYEKzeC5eAAlp1chNuUxrN3zHkq7b0Gp0Q+49i3m\nzElG5073YcmSJUhKSsKFCxfQ5r6uEMPSgWvHUT1+Jj58dx4q16iDy/5tUerbEda9ffDG40UQBKBf\ne+D9DQewfWkAVJMdgU4zUqt2RMcOzXD02ElIN0tQfGUv4JMCXDsInUL0aVsCWRLwxjIBHo2p/P4U\nFxdj3NgxuHgxuzy09utjwNfHiJLCPCAgEVifBvjUAc68j9jYODxwfydMmTIRX2eVIq8IOJVjxdaF\no2+776dOnYJGEbHzrAd+fYFAB2A1A9FxlX6/xr8H+IcgfiEuXryI3Js50NsEWP28Q9wDG3Nw/pt8\nmBwSLAFaPNHwW4QmW3H5vAdCcRb8IlTQA1z4Nh9mpwxJ1mDt6i+xceNGFBQUYOaLTRASEnJX9Tp9\n+jS8qttaAK0AvAvgeQCApDWhILcEM+t8gPg2kdgzPxP0BKPYbcK6devQtm1boEgC3VUAGMqOWA1H\nj67BrVu3MH/+fFy/fh2P9x6AGjVq4Pz586jbKA1f1J4ECvGA9V+4tW81UHAcSG8AVK0LTHsRtFkh\nSDLEW3lQD82Hu+AGMhqlo2fPnnd1rf/gl+GxRx/D5avX8MKE8UCQE+6zF2BOT0LRxndR7IhAoUWF\nr68vPGcOAX4VgMhq3oJx9UC9E9GONCzNnABfX6+/RJIkfPvtt2jfpQcy3xiOwOBwnJdllHpKbztv\nqWLBlGkzUaK1AjPigJZzgNi2cFODB3u0QM2qGgx+0o1CjwX5GYuAiCaApxQ7PqyPMWPG4KYhFqX1\nXgUA3Lx2EDM/HocODbzumnA/NyokZODpYaPwxuuTsPyDF/FYuwIYSoCcy8C1tdWQX2EY9KemYWRP\nYHh3DwAgIqAYb3x6pbyODz/UFdfPrkKLWsXo8hLQvhbwznrg/qYAZQFfn9iI/OTxwJW9UJCLd+Yu\nRbVq1dCrVy+sW7cOkiShefPmMJlMt127RqOBpJHx2ZRSKDLg8QBR92nwSK8+v1Uz/za42yHIb234\ng3V7/xP5+fk0GHVs3s/FyBQjOzwVRJtLx0aPRzEk2ULVLHHYujpcyA6cndeGQTE2qnotTU6FPqF6\nKnoNQ8Jd9zzV7759+6jX2wg8Ra/0Z3NKqsxGszuwR+aTlIxmAg0piJ0IPEkgiEAIFy9ezPXr17Nm\nzboEahDYQWAbgSp0OFysUCGZOl1rajRPUVX9uHjx+yTJ2bNnE4KWiLjpzYcT6SF0SYRvIlGlATF1\nMREQRNls5pEjR7h7924eO3bsdxFB+iXAX9zF9EPs2LGDslFlYuZ8VudGVsldRY3VyMmTp9Dj8bBJ\nyzaEzkhMPk0sIjHxKHUmK69evfo/jz1g4GDCGU90fJ+oN5IwubxhzU9sJyaRGLSLUO1Egxep0Rl4\n7STouQoe3QFClIjBud+7q2oM5P33309jxbbf547qf5V6nUCbRUunXcdG6am8efMm8/LyqNNJzNkM\nch/o2QvWSQGH9QStFpkB/hYuHA1yi9dWvAym1/PqQufn51NRRPbtpFAjSxQVhVoZ/HoOyO2gZxtY\nN0VDjSRTa7BRkkTKssg6tatz/fr1//V+eDwetmnZmK3qqVz0PNg1Q8s6tVLuSgHyl+Je9O0/nAD+\nZwX/ZARBkrNmz6LDz0TfUJUaSeCrp1twHjvxrYIOFATwnZJ2XMgOXMgOTH+4Ag0mPR9b2oDT+RCf\nP96eVqeJmZmZ97xe06fPoKLoqao2ms02xrZPKpt1mEBRVgh8QmAdgfGEWIGAho1aNKUzPoz2imEE\nIghoy+w+AgJFsTEBD73Jy76i0xlGkpw0aRIh6IjI4u+TphkbEM2WE6H1iEefIsw26i22e36d9xJ/\nJ4I4cOAAHXERrM6N5WZLii5PRe92u/lon76UTTYaE9OoWn04e848kt7Q77fffpv9+vdjq3YZ7NHz\nfh46dKj82B6Ph8lValAwBRChdSiHVqfojPKSwyQSY85TbzPQYtXQ5dLw7EEvQXiugrLeTE3t4cQw\nD9HnW+rtLq5cuZIOvyBq6r5IdFhNtUITdu3+MM+fP8+zZ8+W/9DIzc2lXpVZtNNLENwHZtQGX3oC\nNAf4U4pryCBfgdtngnvmgAkV9Jw+7Q2SXoKQJIGSzY/wjSDSHyOsARzQVSmXBR7QSctmzZowrZqO\ng7qBAT5gxwwwOEDmM095NSgyMzP5+eef/0iru7CwkC+OfY6dOjTjs8OfuuM6pt8S/xDEH4j9+/fz\nzTffpM6gcK6nY1n0fyeafbXsPiWJC9mB/zqVQYNdoayXOO5MR07nQxy0vin9o+1s2rwp582bx1Wr\nVjE3N/eu67NkyRI2atSUrVu346pVq5jWKJ3O5ADWebU5zZE+lM0qBU09QuhHxdfJuLEd6d+yMhW7\nkRk581h9xTMUdZEE9tKbqXI2JVlPCI+XkQMJXKIkGTl37lwOHDiQEI2EqaM37bJ9NGGIIB65QSQ8\nShhMhM3F+k1b3IO7/dvh70QQBQUF9A8LYfj0waxy4zNGvDOcPq6A8v7n8Xh45coVzpkzh926dePL\nL7/Ma9euMTMzkxZffyr17yMqN6LBz8w69zmpMdkYVjGJ/5ryOoeNHEPVL4Ta2FrUGGxs1LgpdSYb\n0f5NouEIKlY7+w6WuGGfyieekRkRDhacB+dPB10uOxMq16Sk6Kjo9Jz25gyS3onrth27sUqtdA5/\ndsxPSv+2bd2EHRor3DQHHP84GOgEK1VUKWcMIyZ7qNr9GRnmy+jIAE58ZcJto9gK0RUIvYWYccU7\napp5lRq9gXveATdOB50OlTHRYZQNWsLuoKyTOKAbeO5L0N9XZZ/eD9PfT2VqNZV6FbTaDGzfvvUd\n9Vp+b/xDEH8wPB4Pk6smsO3oRE673paDVtShapFpDdRRtciUVQ0j012MSHMxqIqDfT5Op9Ffz4YT\n6tEaZqYjxsHIOpEMjgi+KxHzZ58d5U1lgVQCPhRFPR2xQTSEO2iI9GXDfePY6MAEGiL9KMgSGx1/\njW35Htt43qUttQJTFgxg5LPtKShmAnZqtVWpqjZCkAiYCHxJ4AKBDoRgphrWlrCnEo4UIv5JQhtE\nWBKILplEu6+8C6tklUHhUX+KB+W/4e9EECR55MgRJlSvQq1eZUxKJe7bt4/FxcXs9mAPShYTodcR\nOpVo0IJCncb0CQph3cYZFPr8i1hDYg0p1m5NjcVGjFpJjN9INSyeok6lPjyU+ohwCp2fp9ZoYUbz\nxgwI1rD/s0ZWqiaxaWsNL7oNvOQxMChUoKpKDHLZ6e9voygKTEqO/lXqgnl5eRz0RB/GxwTS16FQ\nr4JKo4HEayXEc2epc7g4ZcqUO7p3Bg8eTPhFecmhzAS/CBoMWkaG+3POnDnUGE3E8Bcp+PtRHdqb\nSqPajKmosnqygX6+Wl45ChZ/B9asJtAVpmGV2gotVh337t17L5rsV+MPJQgAdgDrABwHsBaA9Sf2\nu6NwCoDn4M1yubfMMn6i/G90++4Nzp07x3oNa1NvVBkY4ksfPzsVrczw+oG0hJiZ/kpDJvVMoqyX\naXCq7LqiA+uOTGVi9wSO9AznKI5g2nP12a5zuzse//Lly+zR6yFWqVuDD/fpVa4dvG/fPr722muc\nNWtWWRqNtwh8RuBDAlYGtUlhYKsk1nh/QJmzayFTP36SkkVlq/x3ylQc3qOrcyolh4kam5mOZx+m\nWq8aoegoiCqhyyA0ljKS0BKyhdDoCEsSUXURofMleuQQD1wmAtO9hCJ5cy4NGzHyTzffcCfc6SH6\nO/XtoqIiRsTHUo4KYdDBZdQ1TyOGvEic8HjtkcG0ukKIiV+WEwSS0one04hP6LUXPqdgsjIkRkut\nKtBolahY7FT1Mr++6MuTDOCxYn9GxWm4YrPK74oMtDkEDh4ylA6HnkvXKrxUouP4yQpjYkPodrt/\n1bWsXbuWBpuDot5KVGxJtHyJUM0UkxtTH5XMuOSqPHHixG1lrl69So3eTPR/l5hfQgx4j2Yfv/JR\n1ZdffklTtZpEYCBtXy+nL7Po9JymmladelViozQ9t68Cp4wDa6cr5al1Jsy2sWatpLtun7vBvSCI\nu0n3PQzAOpLRAL4o274NgiBo4E1FkAEgHkBXQRDiyv5NAK+RTCmz1XdRlz8MLpcLG9ZuwpfrN2Lh\nvMU4cfwUZr89B9/tvoKOK7ug5lO10GJOa4SkhQKiCJ1VhxuncxGeHgZB8K5aDm0YglNZpwAAx48f\nx9atW3Hjxg0UFxcjrWlD7FTOwP58bXxZcBgh0eF49dVXUa9JOmacXIfnFr8BUS/Bm64b8EYhheDS\nxmPQqArysr6P2Mg/fQX0EBuqjsCpt77A+Y++Rvaq/XDnF0OKCsfVlxaiYOt+CEYrCC1gqQhELgP8\nWgGyAiQOBrp+B1QeDhwaDFhrAEsrAlv6AFf2QlbNGDSgN4qLCjBh3Njy6/t/iL9N3547dy6+y7sB\n+8tPQptQAZ78IiDhB+HWlaohr7AA4sIxQN4N4OoFCGcPAze/71e4dQ0A0eJhHyzPTsJTM4PBomsQ\nBGLelDx8tqQAkgRY7CKWLCxBuyYeFAbXwtQZM5GYIqFBYw0kSUCfgRpcu3b5V6XFvnHjBtp3vh95\nTy6F5+3zgNMHWD8B6DcDnufXIv+VXcgs0SM2sRIGDhyI9AZV0KhhNWzcuBHbvvwcvsufhfCQFq7P\nxmDDms/Ko5LCw8NReCwTyMmBpkIYAG9IO6OjYDBZsG13Ph4dJmDkS0CV+rry9PupDbU4k3X2p6r7\n/we/lllQlrmy7LM/gKN32OcnhVMAjAEw5Gec5x5y6r3FsWPHuGnTJjZq1oi+FQIYXjuGASGBPHLk\nCGVV5sBLgzmCoziCo1i5bxVWaBNNR4yd1R+vzOC6wXzm1lA+WzKMKd2T+Vi/x9iv3xNlE8zR4xal\nfQAAIABJREFUtFqdnD9/Pn1iXHzAM5Pd+RYfcM+gztdCjUHLupvHlLuJHHViCTQuG0E8S0CiolMJ\nSUONqjCiXyNWGJhB2aCjNjmaPs/1phTsRznEj+GbZjLkk1cpWpyEXy7hd4NQ4gltzPdKX4mnvLl5\nfpCgDf71CVslouGD1PoGcfLkyX90c/wq4M4jiL9N3x7+7AjqK1egfeIQRvIQrc8PIGrUJfZeI76+\nSMQkEiGhREIKoZEoyAp9Avwo6RXqIiMopDQgZB0Vg8RV15O4hVW42VOZDn+ZsVX0fGSMH6MStUxr\noaXJIlA1aoiOzxMLi2kIT6DLpfK7fK+c7r5TWhoMCvPy8n7xdezevZvmqErEUn5vqpF4+8z3I50u\nY4jkBnQ6wWVLwQ8Wg4GBKj/99FOS/MmRS0q1aoTZSG3X1vTJ3kXr+vcIg552HzDzmpkXaOFjTyp0\nhWq4/VIAj3tc7DXUwlZtGt1V29wt7tS3f6ndzToIP5IXyz5fhDfN8X/iToIqNX6w/bggCD0A7Cp7\noHLuoj6/G0ii7xP98P6S96H6GXH15CW0Xd8bflWDcOD1rej9RB907tIZax7+DHXG18PVo1eR+eER\nJPRIxOk1p3Fm+Xdwl7oxxf8NSLKEqtWqIqNdBrp3fwIFBSNRUKAC2I1HHxsAwQrQQwgaAXR74CkR\nwRIBpvggAN5fM44qkcjbtRGFhRsgqBr4dGuG0luFKPlkP9wFY3HyzY1QlGUQAuwI37UIgkYDW+8O\n+DaiFdSqcSg6fgaACohlsdxCKMCjAD2AIAKiCpQWAAWXAL0f4C4CbhyDxqiD7tQuNKxfB48//vgf\n1h6/Af42fbtWzVRMWzAHN16ahdKT50C3Bzi4G6haNiK1WoGNOyE4fMDsCxBrVoKq0yC+VQjiGvrh\nvYHboA+XoTfr0D0xE9O+jMa17BIAxFtfRUFWRHQa6ESrwMPQaIDi5PZAu5FA1n54rp1HZFIlVInc\nh0opwKH9Grz08njo9fpffB0ulwvFl84A2ScA/0jgUhYEUQMsexns9TpwPRv4Yi5Uux5TpwDNMrzl\nrl8vwPz5b6J58+YQRRG3bt1Ch25dsWXLFggeIjI0DEeOZQKSBjx5GtfiGwJaBUa9Gy3bK7DavCOG\nERO0mDftJuqHXIKqlxAVVQErly+8R630x+G/EoQgCOvg/QX1n3j2hxskKQgC77Dfnb77N6YDeKHs\n81gAk+Bdxvsj/B6CQb8EK1euxIovP8X9xwdCMWlxZP4erH90CbruHYSQZtH4YvJ7WLtiDQY/Mxgr\n269E7s1cFF8vxq5/7QeZiktnS2A0HsPmDZsRHBwMX19fvPHGGygtjYJ3FTMAVEJR4RzYYuOxqeNM\nhHSojJPzd8NdFAlBknDwyQWoNPVB3Dp6HtmLt2Hjxi/wzPOjcbJlIpx92wIAzj09E5de3w6WRqFY\n9EAN9YdQlgRQ42uHIGlQeOgELg78FzxuL+Gg8GNAOQyoTuDMg4AxA7j8FuAfDayuCwS1Ac6uRuXE\nKDzRrxcCAwPRqFGj/zfupH+LqixYsAC3bt0CAAiCcPAHu/yt+nbLli0x9OAAvPDcC7j19lJYrVaM\nHDwYTqcTQ8eNh/vmdbBaLMSQELhnvw+KIjSWEvSYUQ2fTTiM2Dp2DHy/GkRRwCcTjmNoyxNwFwHO\nQBWy4vVgm6wamG0aPDbehcWvrURWHxvcBcWo3SAVWd/tRb02Rmz+LB8tW3TGgP4Df9V1+Pn54bVX\nXsGQ4alQoiqj+MRepNaohK+/fgeF62cBHg+sdgG5VwzIy/u+XH4+IEtK+XbN9DR8c/MaRH8bbJ3T\n8e1n26AJckIsLoY76yxw8xZUWYuERGDDmmJcu6qF3SFi+QduRFUIw47tB5GXlwdfX9/f/Zn4UwkG\noUx/t+xzAO48DP+5wilhAA7+xHnu3ZjrHmHixImsOrBu+RqDfrnPUaOTOMDzMqsPb8RmbX8c2hkX\nl+KNAsITBLpSEKqyd+9+5f9/6623CFjKFrm9SeABQlKpuBw0pERSY9JT0LQisIyC0IkWP18qqo5O\nlz8Xv7+YJJlSN5UVvphSlglqC0PnjqBoaEioBtq+Xk7RaWPggrGMOr2StgH3UzQZCIOBUFVCMBBK\nGqGEEU0nESNyidojiPDmhGImfIKJ6m0Ik52u0PBfPZH4ZwN+2sX0t+rbRUVFzMnJKd/et28fJaOO\njfc8z46euUx5ozs1/j6E3crAiha+7enKeo9Gsue0SmXhDm05blcaDTaZ9dLqMsDl4DMzQ/jJ2Xg+\nPNqPEQk6fngqgUl1DRQ1oMmmoWrUcPHuEO5nNNdfjKDZortr3eZvvvmGK1eu5LFjx1ijZhw//kLh\n6Rwds4t0nLFAptEs0m5T+Nqr4MsTQB8fPbdt20bSu24BokjRamJyzmpW4RamFK6nEuZPc8MUGhND\nGNI0ms0Wd2V0p0QqJoU6FQwJ19AV5OC+ffvuqu73Gnfq27/U7maSejmAB8s+Pwjg4zvsswtABUEQ\nwgRBUAB0LisHQRACfrBfOwAH71D+T4fc3FwsWLwIR5ceQOG1fADA0YV7oVE0mOMzFlnzD6JLu07I\nz8/HyZMn0aVLD4RHxCPz6BF4g13eBnAQ5FFs3bq9/LhvzpsNa/OKELQvQDS9CEhLYO/REJEbZ0C0\nWSE5raB7FUSxM8LCDuDpJwZi0fwFuJB1Dp07dQYAtM1ojmuj56D4TDYKj2bhwnOz4SnaAjHQH3K1\nJFhWLcClSe/iRMVOyJm7Ch5jC8BjArp/ArxwFmjVGfBkAxf2AFoT0GQckNIV0OpgFUtQR3sdowb1\nx9lTJ36k5fsXw9+ubyuKAovFUr6dmZmJsCbJsKWEQhAEVOjfEMy5Adfns3DtGrCo/y6IsoD1s7KQ\nn1sCj5tYPeUEnBEGeMQSrFuzERvnO9Aj6TTWLMrBkOkheLT6UQRUMKDt44EQNQLa9HXihd6XAAAO\nXwl2pw7Xrl27q+uIiopCixYtEB0dDaPBgl07PDBbBCiKgK93SqBsRJeuvTBrbjAWLY7GvHkfoGbN\nmgBQnmJfYzFANHtTzohaBbK/A6KqQ/7Rc0juXxPhLWLQ7L0uMAcaUeoRcPG8iKOZp5GUlHRXdf9T\n4tcyC7yhgJ/jP0IB4RVs//QH+91ROAXAfAAH4BVa+Rhlk4J3OM9vxrC/Bp173M/g+2sxckAjykaF\nxiALNapEUaulYHIQsp6iaGVwcCStVidFsQ2BvgQC6M2SOonAYgLTKUlG1q3blK1adabZ14eVs95j\nle8+YKUDb9M18gH6DOrMqE3TGfbxSxQtZup0Zr4xbRpVp4Pa+9tTjK1AwWBkkyYtuWzZMi5dupS+\n4SEULSaKAb5Unn2K8AsgNBqal0ynL7No3fShd8QgO4gqH3jDUv+92nUSiZimhNGfiGxMVOxMyCq7\ndOnKwsLCP/rW/ybAT4e5/u369g+xceNG+kQHsX3eTHbiPDY5MJYas4Hh+buoVq9IQRKp0UrUGiVK\nqkytTU9dtQRCr1KrKoyKj+DixYu5c+dOGm1a6s0a3v9sULkE7sCZkUxtaaVGAnfkR3LkDD+Ghgf8\n13528+ZNtu7SlZJOR7NdYWiEk08OGcBdu3axecsGrFI9jk8PG1yeJXbbtm1U9QIbtDYwNcNMNdBB\nUdEwvIKRL8yy8+GhNgYFO28btURUjKNoMTJgdE8mZi1h8LTB1Dgt1JokuiqaGVXPj/YKNj5ybhj9\nk5z0CVKo0Yi/awqNn4s79e1fandV+PewP9tDZAlwsM7aYd7FMxodIWoo6lUaasRRNOkpGlWKeh0B\nKyWpOoFZZTa0zIW0+AcWRuARAmOoMRoZMKQTa3q+YNXLy6gNCyAkHUVLNQqKnYJi5PLly6m3WWnZ\ntZoO9znai05TjI0noBLaKMq2NELUU/fpRzTmXab83CjC4CBctQm5zJ2ktxG2NoQ1iLBWI/QuoufH\nXnIYdZZamz/jEivT4R/EylWrc/PmzX/0Lf9NcS8eol9rf7a+/UN4PB4++GhPOmOCGdgymZJZpeOV\nwTQ90ILO+rFse30aW56ZRGOkL5XJL1N/8jANty5RSq3K5M4RDKhkp9Ys0+JjZLuR8azWPoBD51Yo\nJ4iX1iXQx6VQZ9BQkkQmV47lkSNHmJmZyZ59+vC+Hj24YsWK2+rU6cGHKDduRq3dwPEL/bl4dwhr\nN7HQbFX47Jt+nLclmHUzHOz5SLfyMhGRLmp0MiWTSqNTpdEicMXhAGYylPuLQtikvYl169fj+++/\nT4/Hw5ycHCZVq0LRrKdslKkzy9RbZSZm+JVnTGj2dCx9K/kyMM5ERRVYJ63m7908Pwv/EMQfAIOv\njYqPjYLJj4LJl1DM1FjNlHwsjN31NqtwC8MXjaag1xFI+QFBjCOgEHimjBzG0bv6eT2BfxEwEBob\nBUX16jXLTQmk0Zvi4iq12hBu2LCBEAXai7PocJ+jw32OSsdWhBJBJJcSKSSC36IQGkv93m2ExZd4\n/II3CVqvg97Rgt8zhCGMeGiqN3RVoyVkPWENpqya+fLE1/7oW/y74h+C+Gl4PB5u2LCBDTOaUh/l\nohLpouJrZoPNI8qlZavO6kmlVRMa8y5Tf/IwYTbRp4KVD69tx8ZjU6m3ylzgac9+71ajK1rP6fuS\nOedYFUZVMbJmR3+a7Do2admCU16fwsOHD9PkdFI7ehi1UyfREBTEhQsXltfHFugi2nZmm54W7mc0\n9zOaGy5FUKsK5dubr0dSp5PLF2kmVArnu1v9+OU5Fw+WhNBoEbj+jIujptmp0wvU6QUanHrqw/xY\no3YqGzatT7PVSJuvibH1ffjykcYc+mktGuwyn9vdmPPYiUPX1KPRR0tFFVgpJZ6XL1/+o5rov+Je\n9O2/tCP5t4CP2Y6SohKwNAeiXYIU7gDdbuirx8FQJRYAYL+/CURFBrSZAD4FsB3A6wBMAKYBGABg\nPAABkLoCeBYQAwFlOOhJBUokoGQ7gK8AKRAQ3kNpaQ3s3bsX0OuR/9xrYGkpSnfuQ/GaLwFtjDe/\nPwCY0sGz51DYrgugDwWMZUFozgRAMQEXX4UolwCeUiA0DpBV6ExmPDeoF86eOo6nh96uf/EP/r4Q\nBAFpaWlY8dEyNEypAc+5y2BhCW7s/z66N3ffWZR8vhH5aU1RXLMuFMmDHivboELjUNTsl4TSYg/y\nrpegVtcQ1H0kHI/XOoQ+qUchm1V0GhuLZoNCsPXsUYxevgQtOrRHcY+ukJ8ZAvnhHnDPmIIxr07E\nfZ1bw+lnxc1bN4G1y3HtxvevrZwr7vLFaSSxe6N3XvDMmTPIzs5GhahEDH/wJs6dKsWO9YXQiBL6\ntbqO6eNyMf9QRay7lYKuA21QffXYsW0btmzbhkJ3MfLzCvDY3KpwxZmR3DwAaY+EY/eycygtduPz\nqd/ApJqx4fMt2L/nMHx8fH7fhvkd8Y8exC/E5ZwcqP17QD+sL0q27sKNTv2B0lLk7zqG0pybkKwm\nFBw5BZa6IehUsPgcIK0GjA7g1g2g5H0AFeFd+dwHKF0CQARM2wHRDmgHA7nRQHgQcCMbKMgBPC/A\nXVCA5SuuAwWFKFy9FYUvvwHY7ICiAjf2AyWXAckBXHoNsMdAyb2CkvyjcF/cB/glAydWQSi9hW9P\neFdqb/pqB3w7NUS3+2cjJibmrjSw/8FfG6qqYvkHS5Gfn4/MzEw0at4Ut77OQmluIYoPXgQLihAV\nUYrUdx7EJ83norTQqwuht+vgE2PH6OrrUb2jC+ve/g7amsmw9miOky+/g6FVd0AXZEfhhRuwvP0v\nfNekOwSjd3KYt27Bk3kUZ7NOI7rKFby+JxqTH/sWe431sXvPLozpfRXRFUXMeekaVJ0REwZcxbHM\nUhzK1MBUpzLik5OgkURYGqSgIDQOD7c8ipgwf7w1YyrmzJmFCtX3ITBci9xrpajfzoK3Rx2BYpBR\n9/k0RGRE4r20ecg5XwDfcG99rmTlYefS81j72rdo2CgdXx1bBlVVf/Ke/WVwt0OQ39rwJxqGX79+\nnaJOS6fnNH2ZRV9mUW7bjEioTMHsQ8nXTlPjVIomI5WkWMIQRWgtxKRvvInAhq/zTg7jFoFCrwtK\nDvG6l6xuwkavaesS1XoQr9wkzEHevPqWOOrNvhRNLsIZTPToSyRUJQxWQg70pt4Wjd7cSV23UbUF\n8F+TJ1OrN1My+VFntP1qOdO/MvCPi+kX4+zZs5w5cybnzJnD69evMyI2mqEZMRzoGc/6k1vQHmXl\nffOaMO3ZapTNWiZ0iKDBV0/JYWZ80VaGrXuDcoSL0Vc3MI57GDDveUqJMTRGhFHnsFOZNIFicCDV\n5Ghqo4MZWsXGZTdqctiiaCo1k2nN3k/DyMdp7JxB1WzixYsX2bFTB+pC/Zl4az2TuY3GtBSGvtq3\nTNR3PV392nLQU0NIekPKA0L0rN3GSq1RQ6tLT0mnYVBqYHnmg9aL2tJgk9nxxYqs0z2Eil7DVq1b\n/mndSXfCvejb/7iYfgEMBgM0gghP1jkAAEtL4T6RBRR5wJQFKE1ehZv5T8IT9SKKj14A8roBIQmA\nf5T3AAmNANkDQegLg6EZVMN33l/+ogwUDwLcx4CiGYDnIGANBrRGwBEFSHpAdkBV9dCLxUDoUOBQ\nBID/Y++sw7So2jh8z9u1nWxQS+zSS4OINCydCioCgpigiAoKCsZnYWEAfia2opikgAWfikgo0kpI\nI12b7+/7411XUGJhC3Du6zrXvjNzzjznzPxmnzlnTrTBY7EybEhfQiJiMJxeqNob74KhdO2Yxs1D\nh7Jn1zbWLPuW/bu306ZNm5K7eCYXDAkJCQwePJgBAwYQGhrKl7PnsH/JLt5r8jw7F2/j8LajbHph\nD4v/uxZHzWT2bz5CbL047MFuDLuN/R/Mw9OsLtbwQLfa4N5tyf5lDdl7dpGdfhj/2Hvx1ShDlSUv\nU3XVWxytVpc3H9rKRd0jsP72G+kd+pI1Zz4Z0xfwyH8exOFw8MeuPTjrVMbqDbzV+9Mz8TVIzsuz\nq05FNm/fxooVK7jz7pGE1S/D9swIXOFeBv4wgNSBNTi4/TD+nMDKcxXaVyT9iJ+5T2+lRnBHFn23\nhE8+/vSCbk46EUbA0Zy7GIahcymPTz7zNCMf+g+WHu3J+nE5OcExcCAD9taE1McC35QX3QDrJ+O0\nBZFhSYdHV0B4PKz9Dh5sScc2LejVqxdVqlShwcXN8GfmgCMYrA7wBMPB32HYd7BrHbzRD7KzwO9n\n8iuTiI+Pp1vPPmTlgN0KH099l+bNmyOJ9957j+XLfyElJZnevXtf6GMVCgXDMJBUIsPAzzVtF4Sj\nR4/y/vvvs3//flq2bElKSgpr1qwhrXtXNq5bQ6NRTVn1yTpyaqZydOFy/EcyKPvDm1jDgtn/5nR2\nXP8fwmuXoc6r15KxYz//6z6e0pPvIbhVPXa/MYucJ54jIc7JjjUOduzfT+mbWpP+6y6y5q/HZrOx\n4/BeMg5mUPmHV3BWTOTXtGFYsjOp/NH9+A+nsz5tFA/dMJxPpn9EVtMs6t9cF4DPb5uDsnNodm8T\nnkyYQFyDeMq3q8BPryzl6LajfD3na2rXrl3CV/fsKBRtF7QKUtSBc7Aa/tVXX6lpixayeX3yVK0h\ne1CQLI4gEV5XRNSV4QjW7SPu0vLly9Wrz+XC6RWlawinV0nJVXX06NG8c61Zs0b9+/eXzeWTEVJK\nhjdMFleQMCzC4ZXVEaQKFZP14Ycf5qXJysrS1q1bz8m+1+cbmE1MRc6TTz4pd6RHfb7qJ3diuGxR\nwYrpUle2qFB5UivKFhksW7BbrZY9mDc1fbVHeiv65p5KPTxHIRfXUss2rTVhwgTFJ5VR0//dmzdd\nfeneFyk0OUH2ULdSbmsjq88lW3iQDK9LrvAQ2RwO2V1ODR95h/x+v+pdXE9Xzr08tyHpLnWe3EnV\nL6+iXlO6yO61CQN5QzwaOnSo/vjjj5K+dAWiMLRt1iAKwIYNG9i+fTspKSkYhsEjjzzC9u3b6d69\nOx06dMiLt3DhQqZPn06lSpXo1asXdrv9H+c6fPgwixYtwuVyUbduXSwWy3kzv9H5jFmDKB4GDR7E\n5DdfIycrB6vTiWG3kDymB1n7D7PluS/IyMyg9ivXEN818Gb/48AX2PTWt8iAShUrsfzHJdhsNiLi\nYqj77Wg8ZaIAWHH7W+yYthjDYaHT0rvJSc8ic98RZl78KMMuv5577r4bi8WSV5sePXY0UxZMofO7\nHcg6ms0bLd7EbrGTuSeTe+4aQ2pqKk2aNLkgat8lWoMg/4uqvExgRsyfzzJ9IftVE5O/oGALBpna\nPgOys7O1d+9e+f1+ffLJJ2rVOU2tu7TXzJkzNfTmobL5nKo4vL0S+zSSLcip1i/3lNVpPW6VuYHX\nD1Zi+zpqufIxNZx2h3yRoXIH+2QPdqvbhofUV/9V900Pyx3i1ebNm/+Rh8zMTA28bqCcbqfcPrcG\nDh6oWbNmnVcfn/PLibR9pqEgDuJR4I7c3yOAh08S72Ig9QQPUX7TF8W1MzGRdFIHYWq7BHjuueeU\nVLG8LFaLwpIi5fS59Pzzzx8XJz09XdcNvVHxSWWUUru6ZsyYoQULFiixQlk5QtxKaFVVwTFhenz8\nqQd8+v3+82LFw4JQGA7irJuYDMNYBVwiaYdhGLHAl5KSTxK3LPCppOpnmv7fVA03KX5OVA03tV2y\nbNu2jY0bN5KUlERUVFS+061cuZJVq1ZRuXJlqlSpUoQ5PD8ojCamgjiIvZLCcn8bwJ4/t08Qtyz/\nfIjyld58iEyKkpM4CFPbJuc9heEginrBoHxxuvQlvaiKyYVDIS4YlC9MbZsUF0WxYFBBm5iaSdqe\nO//9F2dRDT9tevMty6QoOUUTk6ltk/OawqhBFPWCQUWZ3sSkqDC1bWJCwWoQ4cB7QGlgA3CppH2G\nYcQBL0jqkBvvbeASIALYCdwj6ZWTpT+BHfMty6TIOEkNwtS2yXlPiX6kLi7Mh8ikKDEHyplcqJR0\nE5OJiYmJyQWM6SBMTExMTE6I6SBMTExMTE6I6SBMTExMTE6I6SBMTonP5/vHvtWrV9OsWTNSU1Op\nUqUK1157LbNnzyY1NZXU1FSCgoJITk4mNTWV/v37A/DRRx9hsVhYvXr1WdvND88++ywVKlTAYrGw\nZ8+e444NHTqUihUrUrNmzcD63ib/Ws43XV9xxRUkJydTvXp1Bg4cSHZ2dt6xItV1QSdzKuqAOaFZ\nieLz+f6xr02bNvrkk0/ytn/++efjjjdr1kw//vjjcfsuvfRSNW3aVGPGjDlru/lhyZIl2rBhg8qW\nLavdu3fn7Z82bZrS0tIkSd99950aNGggqXAmNDvbYGq75DjfdD19+vS833369NHEiRMlnVzXUuFo\n26xBmJwx27dvJz4+Pm+7WrVq/4ijY7pvHjp0iAULFvDiiy/yzjvvnJGtP/74g8aNGzNjxox8xa9V\nqxZlypT5x/5PPvmEfv0CY9caNGjAvn372LFjxxnlxeTC5lzWdVpaWt7vevXqsWXLFgA+/vjjItW1\n6SBMzphhw4bRokUL2rdvz1NPPcX+/fv/EefYxY4+/vhj0tLSqFixIhERESxevBiArVu3Hrew0t/Z\nuXMnHTt25P777yctLY2DBw/mVfePDbVr12bVqlWnzPOWLVtITEzM205ISGDz5s1nWnSTC5jzQddZ\nWVm88cYbtGvXLs9Wker6bKseFHxRlbHAZmBJbmh3kvRnVSU7E7744osit1FcdgrbxsmqxO+//75e\nfvlldenSRcnJycrIyMg79veqeIcOHfT5559LksaPH6/bbrvttHYdDofKlSunr7/++qzy/fcmpo4d\nO2r+/Pl52y1bttSPP/5YVAsG/au0fT4+PyWp62rVqmn8+PFnle9BgwZp2LBhedsn07VU8k1MI4HP\nJVUC5uZun4hXgHYn2C/gCUmpuWFmAfJSIAp7BsSStFNcZfn5558ZMGAAH330ETabjV9++eWE8fbs\n2cMXX3zBoEGDKFeuHI899hjvvffeac9vt9sJCQlh5sy/ZHHw4EFq1ap1wretlStXnvJ88fHx/P77\n73nbmzdvPq454W+Y2j7HbBSXneLQdd26dZkyZUrevvzq+t5772X37t088cQTefvOUNdnTEEcRGdg\ncu7vyUDXE0WS9A2w9yTnMBddPg+ZNWsWOTk5QKDddvfu3ScV5fvvv89VV13Fhg0bWL9+PZs2baJc\nuXJ88803p7RhGAadO3dm1apVPProowAEBQWxdOlSlixZ8o+QkpLyj3PomPbizp0789prrwHw3Xff\nERoaSkxMzMnMm9r+F1Jcun755ZfZvXv3Gen6xRdfZPbs2bz11lvHne8MdX3GFMRBxEj682vIDuBs\ncjXEMIxlhmG8ZBhGaAHyYlJEHDlyhMTExLzw5JNPMnv2bCZOnEitWrVo164djz32GNHR0SdM/847\n79CtW7fj9vXo0YN33nmHbdu2nbSt1jAMDMPg7bffZt68eUyaNClf+X366adJTExky5Yt1KhRg8GD\nBwPQvn17ypcvT4UKFbj22muZMGHCqU5javsCp6R13aNHjzPS9fXXX8/OnTtp1KgRqampPPDAA8AZ\n6/qMOeVkfadZMGiyjlklyzCMPZLCT3KesvxzzvxoYFfu5v1AKUkDT5DWnM3MpKhZfsxvU9smFwwq\nyhXlJLU+2THDMHYYhhGrvxZF2XkmhiXlxTcM40Xg05PEM6vqJsWKqW0TkwAltmBQ7oP3J92An08W\n18SkmDG1bWJCyS4Y9BpQi0CPj/XAtce0+5qYlBimtk1MApzzCwaZmJiYmJQM58RIasMwwg3D+Nww\njDWGYcw+Wa8PwzBezm0f/vlv+8cahrHZMIwlueEffdMLwcZp05+BjXaGYawyDGOtYRgj8luOk6X7\nW5ync48vMwwj9UzSFoKNDYZh/JSb94Vna8MwjGTDML41DCPdMIzhZ5q/QrKTr7Kcxn6wV1t9AAAg\nAElEQVSR67qQ7JSototD14Vg55zRdrHquqAj7QojAI8Cd+T+HgE8fJJ4FwOp/HPk6hjg1iK2cdr0\n+YxjBdYBZQE7sBRIOV05TpXumDjtgem5vxsA3+U3bUFt5G6vB8JPcx/yYyMKqAs8AAw/k7SFYSe/\nZTkXdH2+a7s4dH0habu4dX1O1CAonoFJBbWRn/T5iVMfWCdpg6Qs4B2gyzHHT1aO06U7zr6k74FQ\nwzBi85m2IDaOHSdwuvtwWhuSdklaBGSdRf4Kw05+y3I6imvA3fms7eLQdUHsnGvaLlZdnysOojgG\nJhXURn7S5ydOPPD7Mdubc/f9ycnKcbp0p4oTl4+0BbUBgY+ycwzDWGQYxjUnOH9+bZyMM0lbEDuQ\nv7KcjuIacHc+a7s4dF1QO3DuaLtYdX3KcRCFiXHqQXd5SJJx5gOIJgL3EZhYrRPQzTCMLYVsAziu\nHEF/a8vNr41T2f2zHBAYYPU48OcAq/zmtyBvvQW10UTSVsMwooDPDcNYlfvWejY2TsSZpC1o74uL\nJG07TVmKS9cAvwK//U3XhWUHKDFtF4euKQQ754q2i0XXf1JsDkLFM+iutXGCka2FYQP4M33r3PRf\nnKWNLUDiMduJBN4Cji3HiQZYnTTdKeIk5Max5yNtQWxsyc3/1ty/uwzD+JBAdfjv4suPjZNxJmkL\nYgdJ23L/nqosxaVrDMNowQl0XRh2KFltF4euC2LnXNN2sej6T86VJqbiGJhUIBv5TJ+fOIuAioZh\nlDUMwwFclpvudOU4abq/2b8q91wNgX25zQL5SVsgG4ZheAzDCMrd7wXacOL7kN+8wD/f5s4k7Vnb\nOYOynI7iGnB3Pmu7OHRdIDvnmLaLV9f5/ZpdlIHA/Ptz+Nv8+wTaGKcdE+9tYCuQQaAdbkDu/teA\nn4BlBIQbUwQ2Tpj+LG2kAasJ9Ea485j9pyzHidIB1xIYiPVnnGdzjy8Dap/O5gnKcFY2gPIEelQs\nJTC30VnbINDM8Tuwn8BH1U2A70zKURA7Z1KWktb1haDts9VcYevhfNH22do4k3L8GcyBciYmJiYm\nJ+RcaWIyMTExMTnHMB2EiYmJickJKbCDMEp4OgMTk6LC1LbJv50CdXM1DMNK4KNOKwLdr34wDOMT\nSccuELwbGMKJR14KaCZpT0HyYWJS2JjaNjEpeA3iXJjOwMSkKDC1bfKvp6AO4lyYzsDEpCgwtW3y\nr6egI6mLfNj32U4bYGKSX3TipT9NbZuc95xE2/mmoDWIQhv2Dfw57PtE8Yo0jBkzpshtFJcdsyxn\nFkxtnx82zLKceSgMCuogzoXpDExMigJT2yb/egrUxCQp2zCMm4BZBBayeEnSSsMwrs09/rwRmLf9\nByAY8BuGcTNQBYgGphqG8Wc+3pQ0uyD5MTEpLExtm5gUwmyukmYAM/627/ljfm/n+Kr6nxwisLB7\nidOsWbMLxo5ZlsLD1Pa5Y6O47FxIZSkMzvm5mAzD0LmeR5PzF8MwUAE/5BXAtqltkyKjMLRtTrVh\nYmJiYnJCTAdhYmJiYnJCTAdhYmJiYnJCTAdhYmJiYnJCTAdhYmJiYnJCTAdhYmJiYnJCTAdhYmJi\nYnJCSnrBoFOmNTEpSUxtm/zbKdBAudxFVVZzzKIqQB8ds6hK7myWZQgsqrJX0uP5TZsbzxxMZFJk\nnGwwkaltk/Odc2GgXEEWVTltWhOTEsTUtsm/npJcMKigC7KYmBQlprZN/vWU5IJB+U47duzYvN/N\nmjU7bya6Kk4kkTt7KFlZWdjt9hLO0bnJl19+yZdffpmfqKa2Tc4rzkDb+aag3yAaAmMltcvdvhPw\nS3rkBHHHAIeOaafNV9p/Uzut3+9n48aN2O124uPjkcTUqVNZv349tWvXpmXLlvj9fp5+4gmmfziF\nLdu2s/ePPew6eAg74PJ5ISeHA+kZVK+YxLufTmP+/Pls3ryZhg0b0qZNm5Iu4jnHKb5BmNouRnbs\n2MGgoTezbPlyUipX5qWnx5OQkFDS2TqvKYxvEAWtQeQtqgJsJbCoSp+TxP17Rs8k7QWJ3+/n9ddf\nZ9q0aSQlJfHNrFn8tmYVBzIzCQoKwcjIwJ+eTjPDYILTyTW3386hQweZ8+pERocfYdRWaJsDj3jg\n82y49vBhZiVBQy88smMd9asmUyPIThN3Ftc/4eaGO+9m+IiRJV3s8wVT20XMDz/8wOgHHmb1qhXs\n2PsHmZWq4X/sBbbNnU7jlq1YvXQJkhg2ciTzFswnLiaWCePGUbVq1XydPzs7G7/fj8PhKOKSXLgU\neLpvwzDSgKf4a1GVh061qApwEKgi6dCJ0p7g/BfUW1ZOTg6zZs1i165dPPHQg/y6dg0ea+A/zMFs\naGiHnzIhBhgErAU+AN4AOgCGBeZXgXo+cH0Hv3vAZ8CUbJjigE+TAnZmHYCbtsCqamA1YHMmVFpl\nZ/+hwyxatIgFCxZw6NAhoqOjKVeuHI0aNSI0NLSErkrJcaq3LFPbBWfatGmMfOBB9u3bT+3kSuxP\nzyIzK5vOrZpx/yPjOBJVBlu8B2fP9mR8NItsewi88C7BaQ2Z/cLzPPD443yZnUHOLTeiH5fgfPQp\nVi1ZQmxs7EltSqLfwGt447XXEKJ6al2++2ouHo+nGEte8hTKVPZFvS5qIayrqguFrKwsdWjRXDWD\nfOrsdsgDKutC/2uEPqmDQmzISiDMBH2XG9qAHgWFgmqDIizolxoo1oKusaJEUGzu/h1VUN9IFO5A\nkU40vSJSXZRTB3kddj37zNOKC/OoeZxFkVZ0ebChRBsKsqJSIS6NGH6rdu3apYyMjJK+XMVCrr5M\nbRcBM2fOlDUkTEz4WIydKNxB4ubJYuRU2aISRFxlGRFhCj/6myJyNiv8yK8y4kqJOYvkLVNOixYt\nktXhkHf37/Id3iXf4V1yd2inKrVTdcOwWzR//nzdOHSYbrjpFv3444+SpKNHj6pfv/4iPF48tU68\ndlTU7qAGTZuX8NUofgpD2+aCQcVAeno63333HT/88APv3zuWGdlHsBnwRQ5cL9jUCmwWGPcbfLIa\nfhBMBSJy048CnMAKYBKBhZEXukEGbD8CY4BsYCyQZYfWFeHxNFixC/q8Cx+UgemHbcyPqsIva9fw\neZt0Wn0CvyRCoh0O+qHSJhhTD15eC7/sgxzDxn1jx3LdjUPYt28f8fHxWK3WErh6RYu5YFDhsmDB\nAu5//BGOpKezdOFiDl49AgbdDqOvhaBk6DIsEHHxTHj8SizRYYSu+eLP+8DeSk1wRMTRJCaSGVM/\nwBMUhGPVEizRUUgivVUHHBfVwrb/EIff+RR/9WFgdeL5+Sk+fO9Nhg6/kzW7spArDA5tgrFfwr5t\nWMd1Inv/rrx8Hj58GKfTic1W4EU1z1nOhXEQJidBEllZWdx1112Eu920a96cO+64g6rpAecAUM8C\nu7Kh3nzYnQk7MyBcgRXubwPmAhOA+QRWvL+PQHtFJWAjLjZmOxhMoI3jNmA3cCAbGpYGqwXaVIAe\n1aDdrxZWVm7CQ089zeGjGYQ6IcwWcA4AQRao4oLywfBZG8jJAa8lm4fvG018eAh1KpQlMTKMlSuP\nG+dlYnIcixYtol3XzqztUJkd1zQh3Ql8Pzdw0GKBnOy/Iudkgzccf7aLIyMfIXvxzxwacAu2fXuJ\nPrSbTm1bY7PZuGX4cCxdLyPrxVdJ7zsI//oNGA471qt7YSQmQmJzaDiKIw0e4pobb2G9vQYasAwu\n/wqqDoTX74B1C7FaAw/d4sWLiU5MIig0HJfHR+OLmtLrst5MmjSJ7Ozsfxbq305BqyBFHTiPquEH\nDhxQs0aNFOJwyAaygLygzqAwkCO3mWixA+11oputKApUHpToRG4DPQl6C9QBFARKBjUGxYPeAX0C\namC369YhQ9SjfXu1A5UC3Q0Kz22CusiCPAZqnoBqxaKYqBB1SmupcK9XiTZ0U1VU1oP+G42yK6CZ\ncSjKgZZ3Rx+2QkF2tP6GQLPT7THo80qocyiKDw2S3+8v6ctcqGA2MZ0VW7Zs0ai7R2vorbfoq6++\nkiT1HzxI7lrJskREy4iMka95XVlCfGLwSDHgVuH0imueFkNfkTU0WsRWEfduEfUvFdGlZbidSnhi\niJI+ekhBVcrr3v88IL/fr4mTJsoTHinD61ZQnzRF3DVQlohQERosGtwphvtFlw8VVqq86PCquFOB\ncOXXIiReOL26bcRIbd68WTZvuGh0nRiXLUZvEsGlRGi0LBFxurhFmwtK34Wh7RJ3AKfN4HnyEM2Z\nM0fhbrfK5jqD+0ETQReDYkB1Qffk/uO354YEkAfUtw5qWBb5HAFH0AjkBKWCngaNzHUW9lyn06lN\nG6Wnp2vp0qXy2my6EtQS1CXXibwD6gOqBHKBJl6N+l+Cgo3AdpAtcK4gCzIIOJOLolGIEyVHo2An\nuqU+qu1BqhsIGbWRy0C7du3SnDlz1LNDW/VIa63p06eX9KUvEKaDyD/Z2dkaP368OnfuLE9wkBJv\n6KhyDw1QUGykPvjgA0WXKS+aXCkeWib6PSPcIcIbJCMqUniDZfG45I4OU2KlirI5vSKmrihzkajV\nW1jsirqxp+povupovqosf01Wn1f9+l+jl19+WfbwZAV1b6UULVaKFqv0F/+VLT5ajpRKIqGOrGHh\niilTRq6yF4lbD4g7MkWlrsLuk9UZqkceGacqdeuK0FDR9CbxSLp4XKLVKBEVLzwhwupQcGSsnn7m\n2QvCURSGts0mpkLgiSeeoFOrVhw8epS6QCMglkAf4s7APqA6gfa8ekB7As1ER4DrW8BrA+B/w+Hi\nClCmcWNqXX89DoeDhgT6SL4P1ALuBmr4fFxx9dU4nU5q1qzJwOuvZ6nFwlLge+AJYBoQDTiA3sCC\nX2DvXmimwLFnsiEUiC9dlvSMDMb/9wWW7Lcw7xZYeQ/8cAe8tAyO5IBym8izFRj9dUmThvTs1IaK\nq2fRefvnDOzdk2nTphXDVTYpSebOnYsvJpJbbr+N6T9+S1ZiDLvm/UTCzV0o99owRoy9m907tsO1\nr0LpGtDmJqh0EWTl4CkThtXIpNyVTaj5yjVY6sRg8bih8zeQfCvYU8DqytMaAH4hq5vJn63noUce\nR4YdR8W/xkU4ysWBRNKCCRg7fyLnUDp/yELWzp/hqQh4MgS2/gjNF5FT7x1G3DuGde1b43rjJSy2\nFTB1EPj9sH4+VK4JWVmQ2p8DkXUZevsoRo+5t9iv8bmI6SAKwMaNG6mRksLo4cPpS+BiegjMsfCn\n1n8H7MCq3H1+YCWwBjhsgZubB+IZBtROhMSEeCZMmMDr773H10lJjDcMfARmfUsHNvv9JCUl5eWh\nXVoa6yRSgKMuaHopZF0CLzuhYq5Nw4Dv1wU64n8HDAVcwIZNm3jj9ddp2LAhpaO91E4MnLNSDJQO\nh0PZcN1GeHs3tF8Ldgv0TfqVMW38vLQV4l3weIUjPP/kuCK7xiYlz/0P/oc2nTsSdf9Aamz7mFKj\nroJDhyE6ku2vfI4jNoyj6UfBnwNH9gcSSXBgF8hPxm9bcYT7qDbpamLbp1Lr9esR6bDjf1C+O8S3\ngpxM/nh1Nmta3syvXUeypu2t+EvdAPU/Ze3atXBwHXuf/4DDX/xA5oatbL95HEGdmmAJDcJwB0H9\nVeTYumIpFYPFaYXISGg8C4IrQ+YerA0b4RhxK7bmTXG/+wosegfGVQVXJqxbDd1fh07PQ59PoXJH\nxj3+GJMmTeKnn34q2YtfwpgOogB07dCBUmvWEExgop0wYBawF3gYeB540WYjJCqKJRaDZ4CnDNgf\nHsbEF18kNbU6Iz6Co5mwcju88K2Vjp06c3X/3rww6TEGXHcNUz79lA1eL2+HhDDB7WbwkCHUrVs3\nLw/vvfUWLSS2uOHNu2HctfD2PdDtYtgETDEgIgwys+DH3HzdDTwHPOn3M3zIEP744w927s/mh42B\nc67cDuv/gL4OCDoCH26D9Rkwtj2MbAm3NIXHu8JTufGlC6snjkmARYsWUb9JY8Y++AC2yGBcFRKw\nhniJvr4b1mAP9qREds/8gRXt76N0TDx9r+oPYxvDzPHwVA/YswlfhWhCqsYHHEauTiThsNtwzu1B\n8PSGOOa1BWViUToxNaMoVTsaHUyH0Kaw5R1sQTbC4sJxxIax84b/8Fv1Xvj3HST8hh5sG/okcpaH\nnR/Cji/J2vgHXpcLIwc4/FugIIYVpR/9q2AZmYBg73q46zlIPwJRVf46HlWNrCw/17/zJTUbXESL\n1u3Iyckprst+blHQNqqiDpyj7bSZmZmyGIbuy23/Lw+6E1Q297tCeHCwxowZo7Vr1+rOO27VJTVc\n+uB29OoQFBdh17Rp07Rv3z61aX6RbFZDwV6n7rt3rEKC3WpcA40egC5K9WjYzTdo27ZteuaZZ9Tv\nqj66bfjNWrlyZV4+BvXvrzagUm70y0tIcwPhP1cjjxW5rSjBjlISUKgTReR+6P4zVLRa5fPa5XJa\n5HNZVaNssMKC3bq8T295DEMDXehyFwpzoZcuRXo8ED4agCqHoFLBbn366af/uD7nSxsu5jeIf+D3\n+zVmzBhZXA7hccjweWRv0Vj2GpUVlNZINf+YJmtEiAgJEjavCEoSockKDotSRGykvJUSFVStjKqP\n7ay4tGryxUUotlyCkga0UP2pt6psr8a6pG1Lbdy4Ud1791LZLnXliAhV5bu6qofeUA+9ofpv3yhb\nZFk5IkPUaMYIXTRnlFxxYYod0k3Jnz0oe0K0LEEeWULiRPmHhLuqqPiVKD9NTk+s7F6PsAeJSreK\nUp1k8flkH9RfzpcmylK9mggtL4KriFIVRbWLRMV2YsQf4oafhDdaXNJHzJIY/71w+XT/fx4u6dty\nxhSGtgtD5O0ItKCsBUacJM7TuceXAanH7N8A/AQsARaeJG2RXLyC4vf7FRYUpGtB94FagHwgn2Ho\nksaNj/sHWSOljBaNQ5oaCE8MQDWqJGnixIl69dVXtW/fPu3fv1+J8eG6vCN69DZULh49fCNyu+ya\nN2+eoiI9enA4Gn2DoahIn5YvXy5JWrJkiUI9HlW0o+Y10Po30YKnUYQPDQGNB9UxDIV4bQry2uWy\nWPRYrnOYBPJY0K8foANzUWpli2LDw9SzSxft3LlTv/32m9q1bq1gq1U+Bwr3oI8HoJnXoHIRyGlH\nDz98/IOzf/9+de/YVg67VZGhPr3w/PPFel/OlFM9RP9GbWdkZKhqzeqyuu1yxQbJCA1S8JQJitZG\nhcx5U87ESDkjPMLlkOEMFvEdRasFovZ44QhR567dFBwZqiqDLlFc08qKiI/WpOcnad++fRo6/Ba1\n7NROt981QkeOHJEkVW+Qqioj02T1eVXruX55DqLpl6NkD/Oq9qvXqaveVle9rfof3ipHTIiswV4Z\nYc1FwmIZzgrCFi2SPhepCoSECXImlFXy4pdV6v5rFDGgvYIjY2QNLidKdRKl7hDWYHHJz6L2O6Ls\nFcITJ6wOYfeI2CQxIyfgID45Iiw2hcaU05BbbtPevXtL+A7lnxJ3EAS65a8DyhJoal8KpPwtTntg\neu7vBsB3xxxbD4SfxkaRXLzC4MMPP1Sox6O6Pp/iPR7Vq1VLM2bM+Mfbc+3qFTTltr8cxI1pyGFD\nfTq51KmVV8mVS+upp55Sh2YOaSXSSvTLpygqLOAg2rVprNcfQ1obCA8ONzR4UN+88y9atEh9evZU\nSoXSigh1K6FUqEJ8XlUPClKloCBVr1xZS5Ys0bZt2/TRRx8pzONR5eBguQxDd/VF+i4Qnh+J6rtQ\nB7tdNSpX1saNG2WzWNQfVM5ALhu6JBk1qYReuQG1rI4S4iKVnZ2dl5crLu2mfrWdOjQSLb8OJUR4\nNHfu3GK7J2fKyR6if6O2Dx06pApVKiq4bJgiqsXIFe6W4XUpcvsihX75rpzRwer4Ynt1ntxJrgiv\nwCJ6HRZ9FAgJXdSiVRutXLlSzz77rF5//fU8R3AiVqxYobDoqMA/eEdr2cN9unjunWqx6H4FJcep\nUvUUVX+yb56DSH3lOoU1qiRbTDtRQYFQPlNYQkTZd/9yEKXul7t29bweUdXWT5HFESZSFom6CgR3\nJVFniuikQIi/Qla3R3w4U4RHi+cWi+lZokwtEVlXNPmvHFUHqWJKLR06dKgY78rZUxgOoqDDCPMW\nRgEwDOPPhVGOHVHVGZic+zR8bxhGqGEYMZJ25B4vkVGshUHXrl1JWbyY77//ntjYWFq1aoXF8s/P\nOpddeQ1Xjx3BwnWw6wDMWw5eN4y7I534WBg0KouZM6ZTOuavSxEbCfsPwdUDrmTlyiVEhf91vsgw\nsXL7obztOnXq8Ma77zKgf2+++WY65UqLn1ca9L39bqpXr06zZs1wuVwAdOnShTUbN/Lrr79y35gR\n+HzfAH4keO1T2J0OoWSxY+NGqletQM82ftxBsONTUA7cmAYd6sDd78DPv0NG9h5WrFhB9erVgUBv\nl4VXZuB1QNVo6JdyhDatW5LWqjmT336f8PBjCnJu86/T9sPjHsGS7GLAlNswLBYmhIwlvlFp9j7+\nPMbWrbS8tzGpA2sBYHNamTZ4JhnZh8CWO8dRxm4uatSc5ORkkpOTT2lr1apVNL7kIg4ezALfa7D/\nWrIO38i3PT4E/05cFitvzJ5Mq/ZtyTmcgeGwsereD0i6ozMHxq8G+QMTkx2eCv4jsOk6yNwE/gO4\nDjyL1eIgY/1W7PFR7H7gNYKCgtifsQ68dQIZcFSCpf1g7xzI3AY755ITH4ulURP8Dz4KI1vDvt3g\n8YHVBYtuJbPS1azbloXPF4TV7aV750689cZrF/Ro7ILWIHoCLxyzfSXwzN/ifAo0PmZ7DlA79/dv\nBKrgi4BrTmKjkP1q8bN3715FR4WoQyN0Rx90dXtUozLKWR2oEYwfjS7v00OR4R69+wRa/glq3xQl\nxqM6dZL13LNPq2plj+a/g2a/ghLjPP9o9//ggw9Uu6ZXhzcj/2405RVUJaX0KfP122+/qWzpaDWt\n41VsGArOHT/RjkBt4ZYrkJYGwiv3orpVkNuJEiNR5ybowwdRn1aofp2qysrKkiQllS6lK6qh8W3R\n9wNR9Wh0RVU0uI5NXdJaFtk1Pls4eQ3iX6ftS/teptYv99Ateki36CF5Y326fN6VimlUVo4Ql9pP\naqe7dZfu1l3q/m5XlUspL1tYVVH/BVF+gCJjy+jAgQN559u5c6c+/vhjffHFF8fVMiXpxptvVMMx\nLWV1uoXvfuG8SYQpEEL2yOHwSpKWLl2qXpdfpuZtWimtYweFlY+TM7qU8DQXnh7CiBTOR4W1s7CE\nKywiUStWrNDjTz0pp9cjq92ulh3T9Nlnn8nji5Q1bpgcsVfKYvPJ26+LIp64Q5GT7lH0e48Lt1vG\n85NlbN4nnntJ+IJFn8FibbZYskdUriOCy4tu94iwcsIRIpcvXMuWLSvO25RvTqbtMwnFtWDQyd6k\nmkjamru27+eGYayS9M3fI53Pi6ps3bqVUaNvpXzFRFbvcLNiix+Px0XpUjs4dDiD3ftgwtse/vNI\nHy5q0oIh9wwhNNRPy+bw9rtQvf7vtGrdluzsLIY+PAGbzcYj4+6hY8eOx9mZN28eMVHp/L4FKlWA\nNs2h7/VbT5m3cuXKsfSnNcyfP58+3boxmCz+7EC70gbJ5f6KW7E0WK1gCA5nwgcPgM0GnZtA1f4b\nWbp0KRvWr2ffzj+IOwLv/AZ3ZUD3BPh9F/x6JJv9y+cx+ZVXuKp//7zFjYqbIlgw6ILRdkJ0PN9M\nfJ8KPaph9zoISQrn074f0+D2Rvw2y8qcO+Zhc9qw2C18efvXtG/emd/f/xjrsgfwZ++kVa9u+P1+\nAJYuXUqzZmlItfD7N1O7diJz5nyct5DV0fR0LA4r5TpV49dpU1BOYFwDhgH+3/B6QwD4/PMvmfbR\n11itTcnJ+ZZu3drSoEEq69at47kJk8lxzwFrXXDcDkd7UypmNSkpKaSkpDBs6M1kZ2fn2Vz43ZdM\nnDiRV17/CFuZEBzl4gkddlUgP9/8iMPlIHPMSLh+AJRPCtzZ/jcHpgkJDoXuvWH8A/DZE1D3IUjf\nTfrP46hVuy4rf/mZypUrF/9NO4aiWDCooDWIhsDMY7bv5G8f8wjML9f7mO1VQMwJzjUGGH6C/YXs\nV4uPAwcOqELFBN10Z5DenBWktG7BqlotSRUrJSoqxiur1VBwkEuPPvKgpMC3hApJXh3djbL2o/3b\nUGSkS5s2bTqlnaE3X6uE0m41b2tVRCR68wU07j6LGjeqoWefe1rlyscoITFCd426XTk5OSc8R+mY\nGI0CTcgNNUHxUWjZe2jDdNS0DhrcHXlsKCIYZX+FNB/5v0FVknxauHChKsTF6pvySNVRsgvNborU\nC/l7opbRqHlpVCbcqXvvGV3o1/ps4eQ1iH+Ntv1+v/pd3Vd2p0W+CIfcoXbZPHaVvThel7/dVkkt\nE2V1WhVROkzuMLeq1a2mSZMmye2OEpYZgihBf0EbxcVV0B9//KFq1RoJXs3t25olj6eVns/tsPDr\nr78qLq6iwCmLzamwKgnC8Al7mgz3XfJ44/Tqq69p586dcjpDBJtyz7NTbneU1q1bJ0ny+aKEd5MI\nUiDYh2r48OEnLePgwUNlsfpkOErJHpcgS7BXlpgyMoKiZPNFacTIkYopW05ByclyhIQEahCjnxS/\n+sWaLNGohfDGiEbPiLbThStSJA8SMY1kOIK0cePGYrtn+eFk2j6TUFAHYQN+JfAhz8HpP+Q1JPdD\nHoExZUG5v73AAqDNCWwU1fU7LVOnTlWNGvVVqVINdevWXePGjdOuXbvynX7atGlq3CxMmxWhzYrQ\nmsNh8vgMXdzOqdHjQ5RS066+V12aFz8nJ0dp7ZqqfVu3xj+Gmjbx6Morup/0/NnZ2frvf/+rqGi7\n1uz2aJd8+uontxxOVKligsY/PV5JFbz64kenFq52ql5Dnx56+P4Tnuue0aNV3hIZ9XQAACAASURB\nVOXSLaB+uT2yWluQz408LlQ6FnnchqpXrqxqVcrpinZOffYouqaLQ/XrVlVmZqYifV5tSQ44iAgb\n2tYp4CDUC91WCVWMRvXKomC3oYMHD+b/RhQhp3AQF7S2j+Wtt95SRKJXwTFOXfNSHQ16sbZcQTZF\np4Sq8Y3VFRTrkSfIrR9++EHbtm2TJM2dO1cebzVBRcEQgV8g2WzXaOTI0QoNjRNs1F8DIO7VyJF3\nSZKSk+vKYnlYcFgwSlanW81bNNNTTz2lMWPG6ptvvpEk/fTTT/J6K8jm6S5HUFnZfc3l89XS119/\nLUkacPUNcvvaCs8y4fpAbnekfvrpp+PKNnPmTJVNriB3iE+O4Ejh3CBcfuEYIixe4ZoqvL/J5r5C\nbdt217p16xQVXVbe0KbCGi08UaJmC1G6mgirK+yhosl/RUhl0elzcb3EdX4R10x16zcuxrt2ekrc\nQQTyQBqwmkCPjztz910LXHtMnGdzjy/jrzba8rkP3VJg+Z9pT3D+orp+p2TWrFnyeCIE/QSDBWGC\nMNlsbv3888/5OseMGTNUr3GofveHa7Mi9N4XwYpNsGpVdrzWKkFLDsTJF2TXjh078tKkp6dr3LhH\nNXjwVXr22Wf/0Xb7J4cOHdJFF9dRVKxFpRItqt3AqnV7vdoln0JDndq6dav6XtVD41+0a4/c2iO3\nPp7nUOOLqp3wfDk5Obpn1Ch5DUNJoJtBY0EhLpdmz56t4cOGKcjpVIXgYAW7XOraqZ3atmyom264\nJq/rX71qVdQhCG2qjFoEoX5l0JHu6Kc2gfUp7uuOsl9FXeug++8be4Z3pGg41UN0oWr7T7KyspRa\nu6YsVpRYM0SDX62b28m0h655uY7K1Y9QzyfqqXH/imqVdvx6Ctdcc5MgVnCFoJLgxlxH8Iz69btO\nLVt2kd1+e67j2CGvN0VTp05VZmamDMMqOCqbu5sS6pVThyebKuni0uraq0teD8CsrCw988wzcvic\nSr2hgQb+coOaP9ZOdo9Dv/76q6RAl9wbbxyu+IQUVa3W6B+95VasWKGgyFA1nX2bOm8frzJXNZU1\nqL1wS9j+I+y9/6p9+I7IarWrd5+rZQsdKUpJ+EaK0J6iwnRR+SsRc5uwuIU9JBD6bQ84iOslat6m\n6FKn/uZX3JwTDqKoQ0k9RL16XSHoKngkNwwUuAURSkgon69zHDp0SBGRbl1+jVMT3/UpuYZVlarb\ntFYJWqsErfHHKzLapQ0bNpxx/u686zal9fBqbXasfvXH6rJBbl19o13jX3KqXPlS8vv9uvGmazR8\nlDPPQTz9kl1p7S8+5Xlffuklhbrdqh4SolC3W6PuuksNa9eWI3e8xwsEZo4NcrvVrGFD2SwWRQYH\n68033tBdd96pICuKsqKKdlTKiaxGYLBeaS+KdaGkCBTqQWFBDo1/6okzLndhUxgP0dmGknYQjZo0\nUEiUXXXahCk0zqXrXq+X5yCunVxX7mCbgiN8qlGnmrZs2ZKXbsuWLXI6QwULBWsEiwXRgtnyeCrr\nvffe0/bt21W9ekM5neGy2z0aMeJu+f1++f1+hYTECN6UKzRM9x29SQ/pFt2ffpPC4kL1wAMP6LPP\nPlNaWne5XLXlCPbqDv8YjdBYjdBYlWtcXp9//nleXvx+v56d8Kwat2yitp3b6dtvv8079uyzzyp5\ncEtdqld1qV5V9yP/FRZboAZh6ScsDYU3XbhnCOezcrmDVa9BaxE2PeAgYvYLW2XhrCQ8NYQvUkS2\nFyE9Ag6iUl8x6LDotVS4InRxs1ZKT08v1nt4KgpD2xdw/6yC4Xa7MIzdKO9T5VEgDohi8+ZldOzY\ngxEjbuHiiy8+Lt3ixYv58ccfKVOmDCkpKeTIINMdzDvvZNKwWzRTntjO8w8foFkHN29NPESZ0uVJ\nTEw8ZV78fj9Tpkxhw4YN1KtXjxYtWrBy1TLaX2bPm+e+fS83Q/vsZcrrFv63YDaGYXDb8Lto3Ph9\ndv9xFK9PvDvZwWefnXrepAFXX02z5s1ZvXo18fHxdGzbllLbt1MKKJUbpzTgysyERYt43+/n9wMH\nuHnwYJ575RUMt5OszAxiXPDbIWhbB5pkwp2VYdZ2uGJhYOK/BmUyeerhUcTFJdCzV68zvDsmBSUz\nM5OF3y/k5XUNiExwMqL5Ul4bspQ/+w68c8fPVEgNpVXdK3l83BPHdSrYs2cPDkckGRl/LlHrA3w4\nnT24++576JV7P5ct+x+7du3C4/Hg8/ny0r/xxov06tUXpy/QXRbA5rQhm58HHpiLYbxIZmY6OTmz\nsKohmQcycIa48Of4ydiXcdzSoY898RhPTX6Geg+34PC2g7TrlMbXc7+iRo0ahIWFcWTdLiRhGAaH\n1u3A6rDgdTYmx74aw20h/Ug02UdjgRgsHgfVqyWxfPUkjqo5GDZwlcLXIxx7Uin2PvgiZHvg8Dxu\nur4fL05+m/SXgsHqAIkfl6+iVOnyzPrsI+rVq1eUt6/4KKiHKepACb1lBdo/QwWtBB0EPkEbQbDg\nMkFPeTyhee2lkjRhwkR5POHyeOrL641X9+6XKjTCozkZdfWV6utLfz0lVPApNj5IMaV86tq9Xd43\njd27d+ull17SpEmT9Pvvv+ed0+/3q0evTqpYPVRJ1d0Ki3aoS9cOumvUHarXxK0h9/j0wMRg9ejv\nUunydg295brjyrF582b1799fTS5upGG3DtO+ffvyfQ0WLlyoMsHBuiN3+pB7c2sQowlMFz4Z9Bno\nA1BXh0OPP/64nnvuOZUrG6/Y2AjZbYYqxaCf26C1aSjShWZ0RzuvRzelourx6OqrLivgnSoY/Mtq\nEM88O15x8eEKDfPK4bZouv8SzVAzTfdfovhKbnlD7Yoq65bLa1FkolPt2rf6xzmOHj2q6OgyMoz7\ncmsPjyosrJT279+f73z88ssvii8bp5ajG+qW5X3VfFR92T2lBEsFLwqSBdtldV6liCoJav54GyW1\nrqhLWjc7rtm1fEqS+vxwY17X3AajW+iOkXfk5bN2o3oq2762qozooJC4SI25d6xuGjpEkSmJuujD\nIao94SpZ3WGC5TKMZ9SoURs1a95e4BCGQ96eXVQ+c4mStFzWmFjhGSib3a1vv/1WXftcoWr1Gwa6\n6rZ9WAz+Ulz5gSJiE07aGaQ4KQxtmzWIk1C9enW+/34+I0eO4rPPZgH9gK8IjJUKDBY6csTPk08+\nR5MmTUhPT+eWW24lM3MQgcVCM5k16yVqplbj/ss20aSHh/99cogwXwI/LF+K0+nMs7V9+3YaNK5D\n2VQLTq+Fu8eM5Iu586latSoLFizg+0VfcejQEa4aFUt8kpPnbp/LocOH+W1dDikXB/H1m4dZuyyT\nVs3bMOjqG/D7/XkD9j7+5EPmfDmV7oMdrPllDY2bfML33y497o3uZAQFBXEoOxs3ga+xDxN4V8xw\nuQi225lz8CAfOSBL4HJkwTdfsfjHOXTvfoRPP7CSZVjYsTuHib9CaiiklYV2uV1nn7gE3OPhEl9I\nId0xk9Px8ccf89gTo/nvDA/BYQ46p2YwefR6et6eyPJv9rNvRyY52X4u6RpBp+tjWTJvPy+O/Ib1\n69dTrtxffZ5dLhdffjmDHj36snbtg5QtW4kpU6bjdrsZO/Z+5sz5mjJlEhg37j/ExcWdMC9VqlTh\n+/kLuXbIYD7q/jVbt24j68h0Av0BagLbMIwX8edYOLJtD+veXcbRXVkk16yIYRisXr2aPXv2AAY5\nGX+tBJeTkYPVYc3L5/y5X/H666+za9cuMgfVYcE3y1j489fU++RGIuqXB+DI73tZ9cjryN+bLVue\nJzQ0BLgBvK8R+ewwDLudzLUb8e/bh9s2kyHDhtGmcxcO9bsdEQZLl8HcRyD7MNgc7Cab//3vfzRp\n0qRobmRxUlAPU9SBYnzL2rBhg666arDatOmhCRMm5bWZ9u7dV253Ym47az/B47mhp0JDS+nyy/vr\np59+kssVLBibF4KDq+vdd99Vt+5dZbE4ZLeHyesN0ezZs4+ze/OwG9V9WBnNUDPNUDNd93RFdeza\nVvPmzVPN2lUUV86hHjdF5U4cUEdv/FJFNruhD35L0beqpQU5NVWxhkdhUR5FlfKobFKcHvjPA1q9\nerXCw336cEUZLVMlLVMlNesYqZdffjlf18Pv9+uy7t2V5PWqFaiMx6P2bdpo165deu655+T1oS8X\nO7Xb79KDT9nl9Rlathg1rI56O9BLoIYgNyjchmpEopxbkYaj1QOQw4ouv7xPUdzKfMO/qAZxzbX9\ndM8zoXnfwIaMDVJ4rF1un0Wlk1167utK8oVYdeXdcfIGW5VQ0SlfiFX33ntvvs7fp89VcrtrCobJ\nZuus2Ngyp6yxvvLKqwoKipDVapfHEynDuFawXPC+nM5QJSfXkdVh1T07BupRDdGDGTeoVMVode7e\nSeGlQlW+bhmFRIYoLD5cbV7tqSYPtlVoVJjWrFnzD1sTJkySx1NOMFG2oFi1+N/ovG8TlW/vICx3\nyOG4Wr17Xy27I0Twu7DfL0tojFxNL5IlyKsr+vbVt99+q4ceeki2y28SPx4RDrewBYuwscIRJZo+\nKhqOlssXpl9++eUs71ThUBjaLnEHcNoMFtNDtH37doWHx8tiuUPwkjyemrrzznskBf5RTp06VX37\n9pXTGSa4UtAn96N1T9lsaSpduqLi48vKMNoL7hH0l8cTooULF8rtDhHcJHhAMFA+X6hmzJihtLQu\natWqgy6+pKFufaVynoN45Mtaql67ksKjgnT9c5XkcFvU5drIPAfx4o/JslrRN1k19a1q6VvV0iXd\nQnTXK2X0ZVZt1W0VJE+wVSERdtkchoY+FJHnIHoNjtYzzzyTr2uSkZGhFStW6Mknn9Rtw4dr8uTJ\neVXnN998U517BuV9AN/td8nuQLOmoyQv+pXAynjVQLUMFGFFtcMCy6DeWgdFetDFqcjnQVOnTi2y\n+3o6/k0OomOndup9rTfPQQy9N1iRcQ7NPZqq+aqjj7bWkN1hKCzWpg82Vdd81dG975ZTbHzEac+d\nnp4uq9We2zz0huANBQXV0XvvvXfC+AsWLJDHEyUYL5giu72dvN4oWSx2eTyhevfdd/X7778rLCZE\nj/hv0qMaokc1RIk1Sim6coTGHrxBD+kW9Xy5tUpXSFS33t3Vd+BVJ/2nXLZsdcEngu3CeFiuuEg1\nfOs61Xyst6xuu2w2j2rVukgbNmyQLyROWB4RhgT/E/bSSkqpLElas2aNUlMbyYivJkY9K1w+4esi\ngluLju+I2xQIF92nFm3an/3NKgRMB1GITJgwQW73ZYL9ueEneb3h/4g3depUNWzYTIbhEQwTvCJ4\nWUFBlfXqq6+qQoUUGYZFoaGRmjlzpubNmyefLynXOQSC2x0tlytI0EXQU3Z7sGISvXptU0O9t/si\n1W0dq/qNaqvfQ0n6TC115QPlZXMYanNFuMa+XVZJVUNVKaWMet1USp9sqar/s3fe4VUV6/df+/R+\nck56r4SEUAKB0HvvHUGaAoJKVwQEKyooF4VrQa+9oCiggogKFkQRRVEEUVAUuUoTEWkhCSH5/P44\nMcIVFK+A9/fV9TzzJOec2bNn75nZa8/M+77rtsWpeANmFn5dlSc+rYInYMZqM0iv4WLmy5mERVqY\n+XQMty+KJTzCw+eff/6b92Pr1q2kV0ogKc2Pz+9g8pQJJ/2+cuVKKlX2sPOog/04eXuDHbvDRPdu\nZtJcodDnnU0h7e2DDnGDOSSbajFCDnhvPi7YLF57WCQn/vYD6Fzhr0IQb7/9NsGgHYdD1G5ko9tA\nJ26vcHkNkirb6X55JBFxdmrWqkbjbmEVLyNvl9XCZrf8aoC6goICWrZsi2T6BUEsXLjwF/nffPNN\nunTpgsnUqPyhPRopDMlCly69K3xkSktLqVIjmzbX1+PaPUPpO68NDpedBmNyy3ccxnH9gcsw28yn\nNQf/CcnJVZGWhQhCe5Dak141iz4D+zF9+gwcDj9ebxZOZ4CWbdpicoRh8lbCcITjSEhi8rVT2b59\nOz5fNCbTjUiPInMistiQvTryNka9VvxMEK3mYth97Nmz54813B/A3wRxFnHXXXfhcAw4gSC2YLe7\nefjhh3nnnXdOyrtnzx7sdi/S/ScQRCVWrlxJcXExxcXFFXlnz54T2vDSleUEMQqTyY7U9gTS6Idh\ncmOxmbDYTAwZNohmzZuSWddP3a4RRCY7aTkimahUF8lpsTzw4P3s3buXLt3bEh7pIzrOT6NO4bxW\nkEt0so0x96Wz5HB9rnqsEhHxNlpfGEF4hI/adatWCMz/Fho0qsmEO6LZQCar9qWTmumjem4WKWkx\ndO/Znt27d3PxkH5kZnno2ddPIGhnxIjhdOzYDJ/ZRKbELEuIHA46xFs2kWkOaWpPHKqKqLV73hZh\nfsdZbcvfg78KQdx0002kp4uIgGhVV/i94upbbNjtwuEUY2/yUaexhz59exCT6OGlH2qwmjxmr6hE\ndGzwV/U9Lr98DA5HDaSaSNlI4zCZOhETk8TVV08lNi6NhMQ0ZsyYwZQp1+FyxWC1NkEKIjVCCidk\nSv4gVms90jOymDh5Art27eLbb7+lWZumhIX7qV67Gg0bNsafFOC6/Zcyg3F0vqs5No+Nrt26smjR\notNuDs+e/U9crkrl4/U23O5wPvnkE/bt24fLFURaUU4cr+J0BmjcugV2rxu7z0uHHl0pKipi6NBh\nSJfxs/PfB8gSQCYPsmYgfyXU9y3U4yXkCGJ2RfDaa6+dqyb9TfxNEGcR3377LV5vVPlbfT4ywjCb\nI3C7e+F2JzFp0rUn5e/YsTtOZ02ky7HZmpOYmEYwGIthmElJyarQa/D7I5FaI7mRUpFspKVVRup0\nAkFciJSBdBNOZyoNmtQju3E8PWfUwOowcc/OtsynG48c6YQ3wsbY8aNPqsv+/fvJy69GeIyVqCQ7\nK2hUkTLz3MSn+Hj55Zd/1/3w+py89UN6xdLUgPEBmnTysOTzFC6aEElenRyOHz/Oiy++SHJKHDm1\n/LTqGkl0TBj3338/1bKzyTHEt3ax3y4GmUVjm3CbRNAnPnpWHFonBnQWPbu3+2ON9wfwVyGIa665\nhoBPfP+K4D2xcZ7wuEVcokFEtIm3vo3hyVWR1GtQlclTJhAW7qByTS8en53nn3/+V8uuVq12+d7c\ntUgtkRKIjk4hIiKOUPQuG1JtJAtmsxPpDqQHkH56eeqN9HR5moPd7aLj2Azik2JYtmwZGVkpWG0W\n8urWYNy4cVjsyVhdLnzxUVhdbiQ3JlNH3O4sunTpfUoyKysr44EHHqRBg3a0a9eT999/H4APPvgA\nn6/aCTOLPfh8NXjvvffYvXs3e/bsobS0lE8//RSr04WMK08giE+QPQqt+BE17oJ8EcgehhJqo4Rc\nZHFStUYdCgsLz0mb/hbORt/+w5KjhmG0Mwxji2EYWw3DmHSaPHeW/77BMIyav+fY84WEhAT16NFV\nhnmrZO8vUaLS0pdVUDBbBQVLdeed92r9+vXq1WuA4uIytHfvfg0e3EAtW36j/v3TtX//j9q//xLB\n09q+vblatuygY8eO6ciRA5I6SpokqbPs9lrq3LmdnM7VComAbpD0okJyAjYVFUXrk00bNGZ5Q9Xp\nkyxvpF3BOKckyeG2KLGqTw8/+pA+/fTTiroHAgEtf2mlunUcpMM/HNeh/SWSpIJDx7XzyyJVy6mn\n1q1b/+Y9KCws1KpVq7R69WqlpSfprWUFoe+PlmnN8gJ1HuRVSqZN42aG6dsd/9bOnTv10fp1qt6g\nUAvX+XXn806lZBfq2htHKr7KPv0bKb1YSiqW3i2VfjgmGWVSYaHUqL8UqCu9sdarzzdv0ZjRo1RU\nVHQWW/SP4/9K35ZCVkNVUkIh5FuNlNqOkcxIefWtstmlyBiz1q85rvj4ZBUWHlVsglVN2xtq19up\n0WOHq0OnZurRq51Wrlx5UrmAkpOTZDZ/q5CERiPZbLGSyrRvX4pCArfDFApTlabSUockb/nRblks\nnvJjf8JOBWKdGjwnW5WaOtX7gp7qNCNG9/3YUdl9pReWPSeb5bBKj6WoYF+KSo4WSrpbZWUjVVBw\nm15//X2tXr36F9dvGIaGDRuqd955WS+/vKjCTyE5OVklJTsUcpiXpC9UUvKNUlJSFBERoSlTbpTd\n7lb16rnyd6svk+sRSQ8oJC7cW9JR6ZnZUkb1EGdYLNL+7dKBPZLVo007SnXVxD+9+f97/BF20R8Q\nVTmTYzmPb1mlpaWYLQ7k/i4U20WVkb6tSH5/LapUycVszkW2Dkht8fuj2Lt3L6+88gp+f02kZyuS\n2x3NV199RfPmbbFamyHNQroMh8PHhg0bWLlyJW3adMLrjcIwaiLdinQdTmcUUclhPFjWj/tL+hKV\n4WHwndV4vKgzE16oiy/KTo1WySxevLii7vv37ycjK5V6PVLJyA8SmWin2+gEYtOceIM2ohL8NGvV\n+FfXkXfv3k1mdipV6kRTqXoEOdUyiY4JUKtBJNHxbsKjbKw7lsEGMll9IB2vz86+ffu4ZMRgrrkr\nwGaSeXJ1NAmpFtYdTmQzybTv6SRO4iOJ3QptXLtNJjZs2MCyZcvwu83MGSRuHyC8TpFXq0pF2PDz\nBZ0DwaD/tb4N8Oijj+J2iqQoMau/+Obu0F+3XeTkemneIYKExEg+//xz7HYL7+1PYDPJbCaZmg3s\nDBjj5ZaHw4mIcvPmm28CsHTpUiIifVgsJiwWB253Jl5vBhkZVTCZzEhT+dmqrw4yEpGsSEOQ7kO6\nFJ8vnJSUyrhc+UgtsDmdXPtaPRbQmQ5j0olND1R4d8/d2wl/uJu5c+cSFvQTUzkCw3CU7y28hPQS\nPl+DCqOH0tJSrr76GsLCEvD5Yhk06KJTejo//vgTOJ0B/P7aOJ0BHn30cQCuu24aLldDpI1IVxHo\n2Ywq79+Hr0VTTJ5YrH16YGnfHLlcqHouCgugpJooqRkatB51W4LsYfgCceetnU/E6fr270l/lCDq\n6+SIl5MlTf6PPPdJuuCEz1skxZzJsZzHQXT8+HFMJivyHESeI4TizNxHKJLkY1gsLuRwYEpMxD9t\nNLa82li98Tz77LN8/PHHuFxRhDbnnkW6D5vNxYEDB/jhhx9o3rwdhuEsn07bsVi8FZ14+/btJCdX\nwuWKwGZzccUVV5FTI4uOk6pxw4b2tBqVhcNrwWQ2iM7wcNnT9QiL8PDOO+9UbObdMv0WmgxKrxhI\nXa/JwhfmJqdpFPNLOjK/pCN1u8cRGR3JZZeNPqXK14DBF9DnqmRW0IjlZQ1pPTCeseNHsXLlStav\nX0/b9s1o2CaccbdFUDUvwMjRwwF49LFHqZLrZ833Cdz2RDhNOjgrHiwPvRpFlsSe8rRbIsJqZey4\nsTSuV4NHLhXMD6V7LhZRQdNJjofnA79CEP9n+jbACy+8QEqiQVLEz/ec+aJygp1Zs2axaNEiduzY\nwZNPPonZbLBsS2xFOzbr5GTWUxFsJpnr7w1y4YDubNu2jWCEh8fXJPJxWSXGzYwkLj6SUaMup1vP\ntnj9LqQ+5eRwLVIsJrOZ3FpVSU7OxDBMxMensXbtWg4fPswDDzxA4yaNqFw3ilvea0TvGzNxumz4\nItw8VNCVG95tht3jRErE5YqiV69+LFq0CIcjDGkQ0l1IPTEMGy3bNSM2MYrYhAQMIw1pJtJVSE4a\nNmx+yiWonTt38vbbb58UUiQvrxnSE0ifIj2H4YwgakQXkv45GktEECMlAXncGM+/gmnPEYwt3yK7\nFw394ufN6vxJyOz4U4JTng2C+KNLTPGSTpwf7ij/7kzyxJ3BsecNZrNZLVq0k452lIpHS+ZISeMl\npUq6RMfdNqlNB5VZvDp0xzwFn5ymUtNhHTx4UDk5Oerfv5fc7ilyue6Ty3WdZsy4RX6/X8FgUM2b\nN5aULulRSZN0/Hi8evceqG3btik5OVlffvmZNm16X7t2faPbb5+p115ZKfvXqXqy3xY5dqbq8Yee\nUljQJ7vFpccu2aCwQFDtO7dVZHSEpl43RT/s36eYLEfFtTS4MFFmO+p4ZbLMFpPMFpOaDI7XkUKb\nHnnkTfXufeEvrv+rbV+odvvQ1N8wDNVq69a3O7erWbNmys3N1dIlK9Svy40yvuunSePu1F3/vE+S\nNGjgIHVqN1TNE/bo2qEH9NHqEm3ZcCxU5ubj2mE26R6TSZslTZVkcpSqwPqwNm3aIM/PVZbHIR0r\nLtPnn3+u/xH8n+nbktS4cWMVHw/TkWLpSPlKXkGRdKjIpM6dO6tt27bq3LKl7hsxQu1lUp+c3Zo/\n97D+Nf2gNq4tVoPWocYCyTBM+vDDD1WrkVs16jtlGIYuviqgg4d+1BvvPKl6PTeo96VOOVyLZLUu\nkHSvTOYf1aFja618/W1t3/65SkqOaceOr5Sfny+Px6O+ffsqOipROzYX6JY2a7X8zq/VpFeUnC40\nMfM1zWj9gYqPDJR0tY4enaKXX35XBw8elNVxTOFJS2T3jFON9qvljzFp275PNObNuvrx4EHBVZKq\nSmouqbPeffdd7dmzp+K+lJaW6oIL+iknp7b69RusjRs3VvwWFxct6VmF+P4KUXhUrtc+U6stx9S/\nY2dZfC7p+HEx5TqVpcSJrt0li1Uq+K6iDBV8Lzkraeo1085p+54r/NmCQWeE8yWqsmTJ04qOzdAR\na1CKGC19faOkQxLFUouO0vIN0tGBwrRWe5sMl9wOTbruGg0dNkyJldLUu3cLPfPMczp2rFCvvLJS\nQ4ZcpLCwMK1cuUbQUtJNko5L8qi0tFQLFizQ5MmTZbFYTvJUjYmJ0bPPLDmpbu3bt9f27ds1fuJY\nqdoBdby1rY58X6R/NXtYQ3qP0PLbt+uHb48qrXZQH7+wT4nxKVr/wn7ldYoWSO8u/E4lxQk6XtxK\nr7wyU0VFRRUypJJUM7eOXn1kmao19qv0OHpz3iF1bVqv4ner1aqRI0f+rfZ2fQAAIABJREFU4p4Z\nhqHbZtyum26coZKSEr24bKkGNRmisrJSOVw2Va1bQ8/v2q9Hfjwgk6NAL3wSqXl3H1F4oqGRjyCn\nVSotk6YulFrVlV5Y/IyGDh16llv2Z5xHwaAzwvnq22FhYVqz5iO1a91Qda/drd756Ll1htLSKysj\nI0P/+Mc/FL9tmx4oKZGh0GPxhqsKlFWnukzGJr31cqGOFaN7ri/W88+OlWEY+vLTIhUe9crpMunr\nLcU6VlyqOUuDio63qn0/acdXUqy7jnr27KkOHTrIbDZX1OfE/yVp4MAheumlL1SmVBnGp7p/U21F\nJdpVcChBQypt0LGCY5KqlOe2qaQkTV9++aWcXpsOHziiaWuaKKmaX0VHjmtS7kod3F0kp9+mosMF\nJ5zlqAzDqBA1kqTGjVvq3Xe/lNRNBw5sVIcOvbRmzWuqV6+eJk8eo6VLW0p6XFJlSeu1d/d4zb51\nplasWKElu77UgU07pc29JHWXvnghFMpycTcpf5J0cLu07TUp+Uat3/js2W/U/8D/KcGgMzmW8zwN\nX716NZ6IqqjpcRTdE8U1QC3uQrH1kGFB+hzpB6R9yJyLvG6CA9pQ5/gbpD91LSang5AZ3bvYbD1p\n3z6k5TBq1DikNEImfcuRXkW6nMjI5F/U4YcffuDGG29k2LBhLF++/Be/R8aGM+XzPtQelIkzYMcV\nYSc+PgWbPYlQrKhIKlXOZvfu3eTVrUF8pQDhiS7srlikyUgTsVhsHDt27KRyDx06RPNWjQiP8uDx\nO0hLT2fo0OEnRcc8Uxw4cICMzCT6jInj5kVp5LeKpE7dGlw0LsBWEmjY2k7dJhZiY0XNDNG8plg0\nPZSyKsX87vP9EegcCAb9L/btn/Dhhx/i9djo2kJcfYmonCqq52TSrlUrrjlhOfBtiYDFwtq1a1m4\ncCEtWzcku0oaAwb049NPP6WsrIyLhlxIpSphdB0UQ0SUC4fTwsq9aRWWb10GRnLfffedUb3sdhdS\nV6KS3EQnn2yJl1HLjcXqwjB6I81FmoHLFcNrr71GTo3K2D1m5tOtItXuHsulzzRk0AP5yPAjXY7U\nC8lFfn7jiiWmwsJCQlv1i8rH5AqkZGJiEikuLmbVqlX4fDWRNlQkrzeDjRs3sm/fPvyRkciWWv5M\n+CmlIPmQKwulXIvq78Aa15ex4yeey2Y9JU7Xt39P+qME8UdEVX7zWM7zIFq5ciW+mLoofzNyxaFx\nRaF1xFE/IlmQdv/cEcwtsHZvR9SYXuSzinxWYUtKQHqmvDO9idPpB0Ka1CHHusvKO+KrSP/Cbj/Z\nEe+7777D54sgZBJbFcnF6NHjT8pTq14uGS3iqNa7ElO/G07fp9sjuQiZDM4lFALEzmOPPcaxY8dY\ntWoVcXHJWK21kbrgciUzevS4U15/WVkZN998M4ZhQ2qK1Aqn018RZ//QoUO89957FYpep8MLL7xA\n7WbRFc5Wrx7JxWozERZwMOfpALUa2PAHxfBxFhrVCplefveSyM0UaWnR/23z/Vf4FYL4P9W3f8LE\nq67g+lGq8EP5YKEI84SCLyZI3CyRopBTo0ciK8tNfHw4wXAXYyfZGH+1lYgIN+vWraOsrIwVK1bw\n0EMP8fHHHzNy9HDqNA1y7/J4rpgVRXRM4KQ1/dNh3pNPhAxEVJMBU2OJTrYx4ZEMXiltyPTlOfjC\nLQyaGo0MG1arB7PZyvjxIcfNbdu24Qu6GHpfDebTjekfNcPhtdBqXGWqtkwkp0YVkpOziIxMZNCg\noScZahw8eJDQpvkrJ4zLukgJjB59Bd988w1OZ4DQJvgGpEU4HH72798fqve8eSElPH1d/lzYjuRF\ncobEiKxRyBqJTB4uueTSU177ucSfThChOvx3oiqnO/YU5Z+j2/dLHDlyhISkTIy4ocifia4sCxHE\nlWXIEkTqjLQS6TbkCceUkUzy3PHks4qae5dgcjnLZwgbkB7EZgtURGutW7chUhKhTexXkNqQmVnj\npPNffvloJAchb9SXkB7DMJwnSRmuX78em9vKxK8vZgbjuHRNH8z22HJyCCWrKxxvmLviQb5//34m\nTJhIr179uO+++07apPviiy+48cYbmTZtGs888wxms4uQLftP1ic9aNCgOevXrycQiMLnS8Hh8DNy\n5NjTOk8tWbKE/JYxFQTx+tGaWO0GEZF+HG4zeS29JGTYSc8207yNCatFWC0iOlr06n1+wxP82iD6\nv9S3f8LUKZO54qKfCeLNx0R2jHCYxQiXCJN41SY+s4tmJtGxpahTR9x0+8/CUzPvttLngo6/KLuk\npISbbr6epi3q0KtPJ7Zs2fKb9Vm4aCHxSV4GXRnAbLGSkevh/g9zSM52YDILl9fEnSszWbS9Kh6/\nmdZ9I+gyJIaIKD/TZ9yCx+sgLMKJ3W3G7jbj8lvodkUiGXlhdOrUibYdW5CUGkPLtk0qhIZORHx8\nRnl/vx9pDCHnvetISsoG4O675+JwhOF2V8Zu9/L4408AIdlUny8KqTohH6bLcTiyueiiS1m5ciVm\ncxhSPLLPRc6PkRHNQw899Adb7/fhf4IgznU634Nox44dONxRyOpFdSaiwRtClgg2Xygolz8FRVdB\nVjtZuTXwpyWQOKwL/tR4AlGxSDUIOf4EkGpidYTx/vvvl88OospnIjZsNj9Tpkw5ydOyc+fuSHH8\nZLInvYRhJFdY9mzdupV+/fpj99q4eHl3ZjCOGw5fjtnmQOqLdCuGqSe+uAC1elbhySefPOnaSktL\nufPOu2nTpitDhoxg+fLleDxBzOY2mM2tsFrdhKy3Op1AEAPIza1HamplpO7l303C7Y47rfPdwYMH\nSUyOpt+EaP6xLIMGnfw07xuOL9zKtAVprCaPVcdrkVPPjctt8Nhr4Tz7fiTpWVamXjP53DXuKXA2\nBtF/m/4Mgvjqq69wOcV1l4u7rhHRATGhnpDERS4x9QTv9w9twmuIhg3Fg0//TBCPP2ejQ8dGZ6U+\nXXu0Yfq8GDaQyUMr44lPsxKMtpJWzYndaTD71UqsJo9ul0YwcHJUReyxsXfE4wtYeeLTKqwmj+uf\nSsHhNnj43w1YWtaCWs1jSUiOpv91aTz4RT5DZ2aQnBZHQUHBSedfu3Zt+Yw9gJRLyBpqLLVrh4S1\ntm3bRmRkAi5XBi5XHK1bd+LYsWNceeVETKbBSOsImbB3Ij4+jddffx2nMwJpGtL1SOHItQbZZ9Oy\n5f/Oy8+Zpj+dAH6zgn/CIIqOTkbpFyF3LApLQsn1USAB/Ws1eg/0Hpj6X8nkKVNYuXIl9957L6tW\nreL666/HMFqUP0RXIK3DcPiITIijtLSUwsJCVqxYQaMWTYmtXYns8e0IpsZy84xbAHjiiSeQ7EjT\nywniDiwWN3v37mXhooV4gl6SWlXCHvBh8zioN7ImmW2TSUpPwjAcWJwO4vMSufLT/iRWjTtJeQvg\niiuuwuXKRBqNydQlZLqrboS8Wh9A6kFIgN5HSEryIgwjwD33zC23a7+qgjjs9vrMnj37tPfw7bff\nxhe0kdfKx8Br41l6sA52p8HiXdW5bWk6HS4OJzvfTX5TW0XwuHlvRlK3fs45bdv/xF+NIADq5FXD\n5RBBp8gOimiXiHIIp0n0Mv1MEIusIlki3i8SEs0sf9fOq2vtVM528+BDD5yVulzQrytT7omq2Le4\n9l+RNG/ZgNtvv52YuCDRSTbGzEkgOcvJDU8mVxDEnOVpRCfZK2apq8nD5TWRmOUiv10c1WpkkZgR\nrNC7eJlmZFQPZ9Cgwfzzn/88aalp4MAhoWUh1UVqgdnsYu3atQA0adIGk2lA+cz/aZzOmtx9991c\ndtkYQjGkPixPj5KSUpUWLboQ8hT/yYfqZmTuiyxDGTBg8Fm5Z2eKvwniHGHs2AnI4kbB6igyA/W+\nE1kcyB1AwVjU43I04CpksdKlT1+WLVvGLbfcwqBBg7BaW5d3jC+RFmKNTcQZ5uP7779n/vz5uFwB\nHLF+ehbeTx8epfOuOdjdTg4dOgTAiBGXEfKX8GCxOHn++ec5fvw4Hr+HCz8azThmcPnhG3BEBJA6\nYDLZad26EzVy6+AN95BUO5awWB8t2pxs711WVobN5iLk21Ee1sDIxWSNKZ9eP4A0HLPZS2j/IwLD\ncHHxxUOYMGEyoc08CyH94bG43bGn3EQ/8XwXXNiDzDw3w2cmUa2Jj6hkO3XaeIlKsjP6vkz6XZOE\ny2vijW0xbCWBOU8Had4y/5y374n4KxJEXo0swhxiSr7gSnFsnGibLIYmC7dEV5MYYxYREnMlnIbB\ntGk3UCUniewqicz55x2/Gpvp9+C9994jGOFhzIwIxt0WQTDCzerVqyt+X7hwIcOGX0TValVIruxk\n0VfZLNlRhRoNAnjDLLy0PxQz6sF1Wbj9JmISwnjwwQfZsmULgQg3zx9pzMs0Y0lRE3wRVqR62O3V\nSUmpxFtvvUVRUREffvghNpubUCyp+jgcMcyaFZLDjYlJJRRx9icn2MGMGDGK1atXl88UZiE9jMuV\nw7Rp02nUqH35GPuJIO5ASsNsPv+B+/4miHOE0tJSBg0eGiIJbzxyBFHtK1FSC+SORoFE5PSiJ1Zj\nzqyJxRKH2TwRl6sRVmsgFALYZMZwu4i5vDO+8EB52O8opJsI1s2tiEXfu+wRfNFBvv32W0pLS1my\nZAmzZ89m8eLFFTFc9u/fj8PjrFDNGscMktv+tJRlR7oC6TIsTiu5l+RR/+rG+CPDeOONNyquqays\nDKvVUU4EIYKwOuth99qQhiFdh8uVyPTpMxg5cgyDBw/j9ddf56mnniqPoz8X6TGkBphMIYe+38LO\nnTtxum20vzyBGq3DSa3pw+kzc/2SqhVvdV3HxpNbz8a4m3xERLrPe3CzvxpBFBUVYbWYqBorPhoQ\nIgiuFHe3EEG7SHOLcIkrJV6VuMUwqF+9+jmt0+rVq+lzQXcGDLqgIkbST9i/fz/p6Qm43KJuMxtu\nnwmb3aBbj060bN2UsAgL9dr5CIuw0OqCIF26t6049qKhA8ipF8XFt6aRWceL3flTVOUsJA8ORywe\nTwCL1YTFasLmqF5OBpOIiwvpzrdp0wWLpSchS6cncblyuOGGG7jnnnuYPHky1arVIyMjl5tvvpXS\n0lKefvppXK5EpIfLx1oQqSlOZyVeeOGFc3of/xN/E8Q5Rpt2HZHZji7eXL5ZXYpi64aiNzqj0DVz\nkdlByNsaQtpqaQRuHk1a2SdEP/0PTC4nzz33HHPmzMFuvxjpE8zOIA2eHUX3g/dS47YLSK+SSXFx\nMQ1bNCE8J4nKl7TAHxfBPffNBUIP99TKabS6vzvjmMGAjWOxeh3lgc8uQFqNYelH3tj6FeLuXZ7p\nRb1m9U+6ngsuGEhoQ+1qDFM/HGFe4mrFI7lwOMK47bZ//OLN8JJLLiOkfzGvPM0gJib1jO7fwYMH\n8YW5Sa7upenFSUx+tREtRqTiCbcy8alsXqYZF16XTDDCx5UTxv3i4XA+8FcjiLKyMvxeJx1riPG1\nRdkV4uiYkE7H9KrCZxEBm/AZIs0sPGYTH3zwAQDz588nLyuL3EqVuPvOOyv6SmlpKa+//jrz589n\n27Ztv6s+mzZtIikpkpxqfiIinFw5YVRFuSUlJbRs1ZRgpMFlV7vZRizbiOX+JQEaNKrBsWPHaNKs\nPsFIJ2lZATKzkk+S6y0tLeXhhx9m3PjR5Uuk1yN1QKpEyPR1PFJDKtf24Y9wIonQXsRw4uPTAdi1\naxcZGVVxu+NwOMJo1KgFDkcYTmdLPJ4q1K3b5Bcm408++SSG4UdqSMgT+yBm8ximT5/+X7fbf4O/\nCeIc49///jcyTGh88c+u85UvQL4RKHgTcgSQyYlURkWER1MrohfcTjqbSGcTYVnprF+/nqeeegqP\npz7SLqRlmN2JGBYztRvVY+vWreTlNcCVGFGx9NThy5k43M6K0OGffvopyZVScPndOL0ubpl+C+3a\ndUeahLQas6MzLf/ZroIgBr43jCq1Tl7P//rrr3H7fPgToqjcoTLd/tUCi9ODzVafm2++5ZT3YMaM\nGTgc9cs7+jwMYyh16zalrKyM+fPnc+mlY5g5c+YvwnesXbuWyNgIopIDeMJtPF7ag3n05ImyHsRl\ne/FG2ug2LgGH20TLtk3PSfudCf5qBAEw74nHiQw4iPaU7z84Rb8kcbyXqB0uHFZRJUXMGS96tbQy\na9Ysli5dSrTLxU0St0mkuFz8c86cEGnk5hLrclHT68XvcvHKK6+ccV3yamcx5wEb+3Hy9Y8Osqp4\nePHFFwEYOmwAdRvZaNXRzJTbvRUE8czb4dSqHRLwKSsr45NPPuH999//1aip7dp1wW7PR6qC0+Um\nMtaJx2fD4UwuXzq9GOlGpLYYhpNZs26vOLakpIQtW7bwzTffEB4eizSFkL/TQ7jdOb8wBgHIyspD\nupuQdMBO3O7qPPvss2d8X84G/iaI84A6DZqhasPQ5XtRz1eQNRwlfYEyQP6LkWHHbL4aaR/SYiQX\nCRufJ51NJO9aieF0YBhmmjRpT+3aTfB46uF0DsTliuSJJ57gnnvuYfDgwdhsyUQ1zz9p6cnp91SY\nyUJoMOzbt68ioN2KFSvKVbmuQxqIM9xF/3eGMGzzSFIbpXPtjddVHLthwwZ8vihcrsbYvR4Mk4HN\n7cLpTKNKlVqnjRVz5MgRqlbNw+PJxuuti98fycaNG5kw4WpcriykSTgcbcjNrV9BZmVlZcQlxTDi\nueZM+7IH/hgHjx7rzjx68nhpD2Ire+g+LQd30IrTbeO99947hy346/grEgSETJH9bjNhDnF/nijt\nKR7ME3aTqJYoPBbhN4nkgBg/bix9u3VjtMQ9ErMkrpDw2WxUcTioXu4zMUpiiERsRMQZ18PptPLv\nQ44KC6nLxjuZOXMmRUVF2Gxmvj7kZvGbTqJiDB54IcCC1eFUquJg1u23/a7rPXjwID169MXttTBi\nspcvyuLZWBBHlZo2ZIRzoqCXxeJi9+7dFBYW8vjjjzNnzhw2bNgAgMViK99jeATpbqzWWowePfoX\nOhQbN24kGEzA76+F0xnDoEHDz9q+zZnib4I4D9i3bx+Vq+WFlpKsXhT5SIgcMsAcGM6YMWNo2LAt\nTqefQCARS2Q45pR43AM6Y4oIQ5YOSEXYbCNo27YHzzzzDNdccw2NG7fD5ojCXysLf9MaSO0wO8No\n+vpEeh17kGozelGpWvZvdqqXXnqJJk3a0aBBGy4feTmpWWnEp8Zz1dVXsXXrVho0aEN4eCIeTxzS\nWKSnsTgDBLJicPidtGzT8pTB+05EUVERS5cuZcGCBezZs4c9e/ZgNtuR3kP6AmkLHk8uL730EoWF\nhaxevRqb3crFTzbBH+/C4bVQvW00I+fn06B/IpmNIxh4Ty0qVUnho48+OpvN9bvxVyWIY8eOERXu\n4eouIs4rvBYRbRf1I4THLAb7REuXqGITTevWYXDfvmTaRYJf1EwUfruoIXG/xAMSHSViJYZLmE2m\nM34Y1qyVyV0Ph2YQ2w86yM7x8MgjjzB58kQsVoOvD7v5Hg9PLHEQFWsQGe1k+oybfrX8oqKi00Yu\nTkmL4uXPoiss5ybP8mOzW8uXn25GugKbzcGPP/5I9eq1cbuzsNvr4XT6Wbx4MY0atcRiaUvIms+H\nlIjFEoHHE0HXrj3Zvn17xUzm0KFDrFmz5oz8Qc4F/iaI84SNGzfiCsaguqOROw/FvoDC/4HXF8XX\nX39dkS+/ZQtci+fhfOQurMMGYr34QuTpXa5tuwuPJ4Jt27aVCxPNRHoWkyuH6Mt7YtjCkG7D7IpB\nhglPROB3r+eeiMLCQuLi0jGZpiKtLV+KSsDqTqbDggsZxwxGHrmR+OpJPPDAA6xbt+5Xw4H/hFde\neaVcgcuGtLmcIL7A6cwjOTMZZ5gTf6wPq9uC1WOl29ymXL6mF65wO64wK1XbRNNrRlV8QddJ1ip/\nFv6qBAFw2aWXEucLqfxleUVhD0FvsbC+iLCKV1LEtCjhsZi46qqrqJ0lit4QrBazRooUZ4gcBppE\n0C3a1BORPhEfHeT1118/I6udjRs3kpAQTo2afiKjnAwZOoD4+CCjLjGTnyfyG5p4YomDcVe7SEmN\n4ccffzxtWWVlZYwfPxK73YzDYaFrl9a/6NNt2zdh7I0+tpLApqJ4atS1UqWGFZcnHIczF5PJyWWX\njeTBBx/E5couJ44bkC4iKiqBvXv30qBBC0LGIT0IRS6YiZROyIvahMlkoXfvficpS/4Z+FMJQlJQ\n0quSvpC0QlLYafK1UyhGzVadEI9G0g0KRblcX57aneb4c3T7fh/m3vsvbE4PVk8kZnsklbPzyKlW\ni3oNmrBixQoA6rVqiaV/LxQejvIbhP46a5QTxEskJ+cwY8YMLJaRP+9ZaBOWiDgSZ1yCYdgxmSxU\nr16fHTt2nHHdjh8/zubNm/nqq68q3qw+/PBDfL4qnKiUJSVhmC2MPHJjhTVUVG4qFosfn68awWAC\nH3/8cUW5K1euJD+/FVWq1OeWW2Zy+PBh3O5wpLeRWhAK5/wS0iisLis9F3ZnxCfDqNQ5A1eUi6jq\nUURVj8Lut1NtRD41RtXHGWanRl7VP3VZ6UScahD9Vfr2mjVriAlzcUkNMS4zRA70Fge7hXwiqBZK\nbf1mOnZsx/QRIXJgtfjqGeF1iBsl3DaxbZngY7H3DeF1iXSPhzC3+1dNoX/C4cOHWbt2LV9++SXX\nXDOFUZeYKftBFO8Rg/uJ2DgHQ4f1/80xcf/9/yKvlovvvhYF34sLetoZOXLoSXm2b99OTKyfpDQL\nETEmXB6x+VAYj7zg5aa7XGRV9bB8+XJuvfVWLJaG/OwwOhGHw11Rzs97EbeXp/blG9zTCClD5jBl\nyrX/WcXzirNBEH8k3PdkSa8CmZJeL/98EgzDMCsUiqCdQqEY+xmGkV3+M5LuAGqWp1f+QF3OOS67\ndLj27t6hz9av0R0zr9XWr7/WpztL9N5Or9p06KZgRLQ2r9uk488slmSSTFbJ5ZPM22UY6ZLRSwVH\nC/Txxx/r+PHjJ5V9/MARFb22Xv0v7qd58x7XXXfdqri4uDOq1w8//KBaDfLVoH0L1WyYr869umnZ\nsmVavHixiov3SCosz3lI0gGZnSZteugDSdLnCzZq74ZiHT/+uQ4d+lD799+oHj0GSpI++ugjdezY\nR++/P0SffTZDt9yyQFdffa0MwyepkULxPq2S+kt6RtX6V1WVXtmKqhqlzg91VMmREg3bMEJDPx6u\nzK6VZfPZ1fyuLuq4eJAKio+pbt26f7hNziH+En27fv36mnXXvzTvU+npb6Q95WHA7/1KquH8OZ/J\nZldycpoWvGnT4aOh15pHX5ZMZukmQ/L5pNTyYOaRQalynOQ5ckTWggL1aN9ewy+5RFdPvkrvvvvu\nKevh8XiUn5+v9PR0HT16RDFRpZIkq1Uad6kU5gvXgw/MU3z8zxHTjx8/rn/Oma1hQy7UP2bepuLi\nYq1Z84aGDjqqYFD6Yb/UtXOx3l3zpiSppKREU6dMUM/urZSTVVkX9pmgIYMmKK9WHY3qW6aSErTt\nc7PMilLjxo3VvHlz2WyfSdopqVg225tq2rR5xflr1qwli+U9hZr6qKR1CnUDuySbCgvz9dprq/5o\nE/35+G+ZReWRK8v/j5G05RR5TiucIul6SVeewXnOIqeeHQSj4lFMIzTiOLoM1P6F0P6E2YHcXnTH\nE+irMvTZUZRZFVlqoahvUfBVTBYfMrsqlpikbGTKx2YPw+kM4g3rhttTmQ4dejJ81Eja9+rO7XNm\nn1aM/cKLB5Ixqj2dyp6hQ9GTeDNi8KXHknxRM2yRPgxrLDI6YbJaMTus2IIenDFe3PE+TBYTZvMw\npGPl6TAmk5mysrJy57jrT5jprCcmJhOXK4D0fvl325AikDGCjA4ZXMsUrmUKwzcMwxF0MPyzS5nC\ntXSd351KvaoyjhkM/HQcCemJ57nFTg+degbxl+rb2elJdM8UTrMIt4top6jpEk8ninERIi0uhv37\n91M5Iw6vU8SGi4QIkR0v3A4R9IvFs0MziLceDqnUZUtcLTFYoXLH9BHREa7f9AV4++23iY5y8tIC\n8dGbolF9F1OnnuxzU1ZWRp9enWjZ0MV900SnFk7atWnMlCmTGNDPyuWXiDCfiI8WkeEOvv32W0aN\nHEarRk7WLBCP3Coiwt1s3bqV4uJibpx2LZ26NGPU6OHs27ev4jxPPfUUgUAkFouNVq3aVwTpg5AC\nY5UquYRip1kIRSBogHRbaKnY3Jo+ffqf3Yb6nThV3/696Y8QxI8n/G+c+PmE73tJeuCEzwMk3cXP\ng2i7QkHOHtLpp/Hn5Ob9EfgCkajGhBA5XAa6aC+y+VFYNrLY0Qd7QwTxVRkaNgFZMlFMGYoFuS7F\nkhSLrEFkao7s9yFPGbJ0Q+axyAmyf4fZ7SF2bB9S599ARIMaXDpm1C/qcfDgQVKrZFLnxcl0ZgHN\nNt2OPcpPx0MP0435tNt9L4bVhsXnpPXmmfRkHtVmXYivShx17h9MRE4Sdnsa0nflBPEoqalVAbjm\nmuswmcZgso3H4k3H4q1MdHQqzz+/GIcjQMjZyIc0CLujGsGYcGpdlEvLmS1wRbqwpCVgjQmQP6kR\niU2SyBqYS791o4ipk8hVV/+2k935wmkI4i/Vtz/77DMqpcTjtRtc10QUTxGzW4vWSSLa52LXrl0A\nXDSoH26HWHerODY/lIJu4bULT3myW4VF4h/lXthzJZrYxJ1XiJdni7zcSr9Zn8WLF1M7L5PsrHim\nTr3qFzK0X3/9NdGRTgo3CbaKks0iLdnNqlWrCIQ5qZwiDrwvyj4T148006FdE8L8Tna9E8rPVjGi\nn5WuXTrSvnUDBvXv9ZsRik+F0tJSli1bVr4f4Snfl0vG5cohKiqBb7755neXeTZxNgjiVwWDDMN4\ntfwN6j8x9cQPAIZhcIp8p/ruJ9wr6SeZpZsk3S7plEox50tU5Uzstf8/AAAgAElEQVTRt3cv3f/4\nY1LVyyVvsrT+Nim6sVRjovRad+mp+6SRU6X9+6RlL0hle6TSbyRzkmT5Rsd3fS8Zdsn5pGSKDRVq\nRKpCdKxspZy1KituzhhJkq9tvh6M6aa7bp8tiyXUZKtWrVLnLn1UWOTT9m53Kemy5jr23Q+yx4bJ\n6g2tDzhiwmR2uBTTrop8WaElq0rj2+mTifP14RVbVVawT36fT5AtiyWo49bvdLjErf5DBqlV4+Yy\nbCMVrJ2iunP768jX+/T+RU8oOTlJ33zzuaZOnaoHH3lSON9VSfEeDR00Si++/KI+fvotOW+aqOCE\nESr74Ud9kNVcTlupDvz7kLa/tFVxUbGaPm36eW2vE/GTqMoTTzyhI0eOSJIMw/jkhCx/ub6dnZ2t\nLV99o3vvvVcP3TZRY+se1ei60mcHbIpv3EmxsaE+Omz4SC19fr4qx4W0s0CKDpO+3iNVKZUOS6oh\nabGkI5Lc5eUfNUlOuxQfKR05UnDSubdt26a9e/cqOztbfr9fkpSfn69Lhl8pwzDUrVu3ij7/E4qK\niuR0mGS3hT5bLJLPY9bSpUvktJZoQBfJHxJH1EXdS/XgoE9kt1t14FChYqNC37+zrkyULlezGsd1\n+AdDjRq8qvUbtigm5lSPu1PDZDKpQ4cO+v77HVqwYIGOHj2q6OhoORwOtW7dWmFhYWfeCGcB/1OC\nQSrX3y3/P1annoafqXBKiqRPTnOes8yrfxxlZWU0bNQ0JCJksqKYJqj/d6jlQuQrD8Phj0Q2J4q/\nEpkDyH0p8ndHadWwp6QSjIrHsDZFrnXIMQ/D5MawTgzNICy3421ZuyIMWe7hFVhsNgoLC7n+5mnk\n1KuDyexGzleRF2S/G7PfQ9zkflh8LvKfv4Iux54g91+XYLKF406Nplvhw/RkHs3WXI/JGY7CypD7\nBWSKx2b34QzzUmfhOFptnU1Kv8bYw9zYwj102zadgdzPQO6n2qR23DjtRkpLS7E4vKjZK6gfqNsu\nZA0grxs57ETx74pka98Mw2nH6rVj97jYtGnTn918J0GnX2L6y/XtsrIyrho/Bqfdgtdpo2XjeidZ\nDR0/fpyUhEhi/aJRWih57CIxTIwxRFOJOoaBTaE4Tr0l6knE+cV7D4nmdVxMuupnLZIpk64kMuig\ndrafmCg/a9eu5YsvviA2Ooz+bVxc0NJFYnzEL97ES0pKqF0rm3EXWfngOXHNSAvZWcn07NaGS7qI\nJrVF0QbBZnHnVNGsSR6z7/gHlVJdzL1BjB5kxmoWUWHi4paiWorITDSdsbjR/y84Vd/+vemPEMTM\nnwaEQuuvt54iz2mFUyTFnpBvvKSnTnOec3P3zgIuungIMjlQzjiUd1MoJLjZhdzJqNY0lNYf2SJC\n4iFxiejKyWjRMtzh4Xz//feMGTORlJTq1MprxsKFC4mNTcNsdmA22/BEBEm8eTiVlt9BVLsG9L1o\nEFdePYnwhjVJfO42ZAsg9w4Mf1dMfh/eZrnU/PZpctbchTXChwwDiycKh6Mq8ampRGQlktCxFmaX\nC7mXogAorDC0fmrrRtKFjSs0uToVPIphMeNMDNBuzaQKgqg8uBGzZs3irbfeQiZ7iBx+SoFs3E1y\nsSTF4Fs4lyj+TfDLtzB8HhyZcUQkxrF169Y/u8l+gdMQxF+6bxcUFJy03v4TPvnkE/JyqzKivuD2\nUJrcQnTKEdUcYoREuM+H226nhjkUqiNHIsIlYqO8TJwwluLiYgoKCnjjjTdIT3DzwzNi+yPiwqbC\n77GSmhhgxjADXhe8Lq4ZaGbEsEG/qMvevXsZcGF3cqun0adXR3bu3MnokcMZ389MrxYiNV7UqiLC\nfFY2b94MwMIFCxg25EKuvGIMVrP47E7Bc6LwaZEaLa644opzfm/PJ/5sgghKek3/YQqokGD7shPy\nnVI4RSGh140KrdMuVvmm4CnOc85u4NnA/fffj8PlDUV7NdtDM4q+36BhhFJcM9T/enTxdOTy4gwE\nWLp0KRBy6Bl08QicrjAcngC2qEhslw7DlFcTWyCc6nVq4YgKYnLYqV6/LmGx0VTa+iwZny1AVgeG\nO5KIyUNJXz8PZ92qyGrB5HHibVKdAYMGcscdd7BgwQLeffddfOFBnDHhyGZDnmtCBOGcjax1kaMP\nUU1z6Fr2FN2YT6sv7sDksGIOc2OP8pFzdXvC81PxhvlZv349b775JrJ6UNOXQuTQdSemsDCSH76a\nrA8exBIfhTkpDjnsGC47vS684LSe2n82TkMQf/ft/8AzTz9NlNdFZsDEwkE/E8RLw0SdRFHVLmIc\nDu666y58LgvTOorbugqfTficTrZv3867775LfGQkVrOZcI+HzvXsrLxVBD2ibQ2RkyDiwsWy6aog\niGeuFT26tDqjOu7atYu0lBi6NHXRup6DYMDDRx99xGeffcayZcsq/IoOHDiA02ai7NkQQfCcaF9L\nzJ0795TlHjt2jFumTaNT69aMHTXqlOT5v4g/lSDOV/r/aRAdPHgQs8WGBh/+mSAqD0DjHkDLQXEZ\n9O8/gAsu6Is7EEQmM3J6kNmPbDZcH63BU/A97sPfYeTkIsOG9+F/EFmwBd+tk7H4vSQ8fTMmXzgK\nXoA1KYGcsrVEThuBq0UdKu17g4ydy7FlpTBx0iQgtGwQm5pM2sKbyGM11XY8jzngC22qmRKR53qc\nrnDSqmSS0qch2Tf3IZAai8lpI3FcVxJGd8Lsd+NtUh1TMBK5A1StXQ+XLyw0iwmrisxOnG0aEtaz\nGbWOryK38HWCF3fE4vf8rrg8fwbOxiD6b9P/L327rKyMgNfF+qZiRrZolS6OTBeFt4p2WSErJbNE\nfJifdq2acHsPwd2h9OgA0aJxbQ4ePEikz8cUiSUSUyUchkiLFi9eJZgvSuaFPtfLFt8tEjufETkp\nBmlJCaxbt+6M6vrjjz/y+OOP8/DDD7Nnzx6GDRmM32lQL9XA7zLz8IMPUlZWRvUq6dw2yKB0kXh3\nhggPc/xio3rdunVcd9111K5Zkyynkz4SdW02cipV+tW4T/8rOBt9+1c3qf/G74PP51PXHn308jsD\nVJgzVdr3kbRzhZQ3Xfp0jfTDLj25rVDauVUqOibdv1J6+Rlp7XZp1ysy0lMlSYbJJFNmZZVuL5Nh\ns8pwOWWfeKkKb7lbu4fOVlngOsnbRqV7m4tjJSp4Y53CpwyVJTy0KRZxzTB9tvRjSdLRo0f1/a7d\nqt6zmSTJFh8pT/OGOrgyUio5IOPoHbr7gTlKT0/X+++/r+/27dWhtl31yKL5Kjxm1sHF7yisY139\nsOQjqUYHqdXl2vTJcvn+vV0qKpBR+q0Mn1XW1BgVb9yqTZX6SoYhZ0GJXn9hmZo0afIntMTfOJso\nLi7W4aNFqu6TqnqlLZ9IwWslwzBkMdAQq5TukA4WH9Q/335LF/T++diAS7KYzPriiy8UUGjjRpLq\nSgo3mfXv70vVIDP0ncUsdc2TVm2REi6QTIZUQyjz+A61ad5cGz77TAn/r71zj4uyyv/4+8zAcB3A\nK6AgoCAquoqZllmZqSmaWqZta5qmm93MstLaX2Wu226h7trmbpuVLm6WmZZgpWnqZth6x1uKposl\noliYiqJchu/vj2dgUQcYmOFm5/16nZfPPM/5Pt9zhs94nnPOc74nLKzCsgYFBTF6tLGWJyUlhQ8X\nJ5H+IrQIgv0nbFz/2ESGjxjBJyvXcO/wQfxu8UGaNLKycNF7tGnThsLCQt59913enj+ffWlphGOs\neBwM/AroVFDAwpMnSU1NpW/fvm79nusjuoFwM4uT3mbKs79j5Wdjycw6AcHhkLoMPp4Lt42Bb5Kh\n+2QI/h4mD4NF38DKbhByM/nTXsTrxeewpe3GtvZLKAqiOO8iFxctR/LzwVZMZFgER4ragFcs4nkT\nGbdNRgovkr/rEP79jJ/fpR0HCPD1B8Db2xs8PDi3ZiuBd/SgKOcsF1K3ga0zWFriUWThyRfnIsVF\ntGnZiDWff0J4VCRt9y/GEhFKwbFszu/JMgLWPpwEZg+IvYm8vV8wadQN/PP9xQR0jSb7wzUA+Pn4\n8tTER5g2bZrhW9Pg8fb2pmtce/505ADPtynmiQj4NMebm/sO4MuUFRQHwr5iWHUWLtjgpZUQEgAW\nMzy+zMTUl39DcHAw2QUF/Aw0As4Ap202/CyezPi4iJkjhPv+DOv2GT4LMd4V9rSX4QcR1q9fz5gx\nY0rLtW/fPpYvX47FYmHMmDGXLaQDWLFiBR1CjcYBoEMoBHjZOHHiBKGhoTz/4isUFhbSokULbDYb\nI4cNY3lyMgpjjFEBQcCDGK+ixWFMNnkANputRr7reoerXZCaTjSQbviV2Gw2uf2OO8UzOE6I6iNY\nmwnNo4Wx64UZYqTrxgtDJwgBkUKbZwU/P8HTU/BvLCbfOAloFCx4+gmthglBXSS0VYy8ljhHfBp1\nEdrvF2J3Ch4hgm+AqECrWEcliP/wvmJqFCi+1kDpdn1PSU5OFjwDRVmbinenTmKy+goh3YTIwYJ3\nkNA4Tni4WHjYJl5xY2TCQ4+Kd6NAafbUr8WzU6x4RLcSApsIFl/h3VxhsQjvFYtHeAdZt26dHDhw\nQJYtWyZpaWl1/ZVXC/QQk1N8//330qNznHiYTdLY6icfLV0qLQL95K/hiHQz0ouhiL8JmdMHaeKL\nhFmRzo2RAG+zLFy4UHp17yYBID3tbzk9CBJvNktUqxbiBdIdY6OiQIz4UFNB/gAyEyTW318++uij\n0vKkpqZKoK+v3GIyyQ0eHtIsKEjS09MvC+I3Y8YMsXohO6YZw12rH0V8PJHHH3tMAry9JdJslnAQ\nC0iAUtIe5A17tNpWIHeAWDHCiQSADAfp7eEhUWFhTsUtq2vcoW1l3Kf+opSS+l7G8igsLOSNN+ax\n+9uD/PjjSVZ9uRHGb4Jm9ogM61+ETbPBEgBBoRDRE/Ysh4KLeHsqIlvHku73DISPBBF8dgzj1adu\nZ/+B73jr7STwaAzhk+D0mwR9NBPb4e8pzj3PhT/+HXN8V7B4IRu/orjQG3qnQ/oLkJcG+d/hPfkB\nKLJx6fW3waslRI+CCydQhxchtiLw9oNJ06FJc3jpt8a6jfCOcOuDsGc1kWf2c3DPTiwWS91+yS6i\nlEJEVB35bnDazs/Px2KxoJQiLMCPBSF59DeWL7A4B57Jgl6R0DUAnu9snH9sEyR9B73CPLknopCv\nsiDlCLxTbMQqueOVV5j+wv/xuhiLUMYDx4D1QDfgByAnKIiMrCx8fIw1Pr1vvJGmmzcTD5wGFgDn\nlMLq68v8BQsYMmQI2dnZdIprR2H+JXwtcDEflA3ygS7AnfY6rQUOAL8Fou3nvgYygB0YsVQ+BUKb\nN6dX797Mmju3dG1IfcYd2tYNRC1hs9no3qs3O4/lw53z4VwmfDIabkqAvbvgmT1GcJvsdPjLdfgF\nNMai4OfrN4JfFNguQWp/gkw/ENehPZlHj5KlBlLY5D7IeBKPVuewzn+V8zPmQkQbvF77AwAFs+Yi\nc9+k0G8AXPgGzLn4zXwW74n3A5A35y0uvp8GJ3+A88dh1n8gpA0smgbZe2HhaljzMdFvzUBswrm8\nS/S5qQdv/+PvWK3WuvxK3YJuIKrP6Pt+zZ7kD1kRDfnFkPAdNLbCkVxYfBskhMNL2+CNfdDYZCyY\nSxkE1zeHkavh/FHYACxevpzf3DOciWK88pVov/8WYCHG2P9mk4m8ggLMZjO5ublEtGhBm/Pn6QF8\nAlwHXI/R4Pxktw/y9aJvYAFHLwiF5yAHY4goTMF2gfswlqamY7yq1h+43W67GPgRo5EoAG6++WZW\nf/llg3ogcoe2XQnWp6kCZrOZLV9v4ImRt2L+1+3wyViw5UNqMjRrazQOAM1iwFZAXPtYLhYUwP4Z\nUFwI2+4HPx/O3PEh33gNJefnHJrkr0TtHQJePhSdbszZvqMoSt2B6bqupX5NXbsQFR1FC48tEB8L\nv4rHFNLsf+UKbQ6eFmjXF26+F1rEgMkEI16AtNTSfIFNm3J4/x5OHT3EksX/uiYaB41rJC1+n1a3\n9KfjfkW3A0Czlhwt8CHYamH6Dkj+Ht5Lh+8i4EgkvNEIRhlTVZzKN8Lb+VitzJ0zCz9PozH4EWN+\nAqAdUAT0AaS4mEcnTuTUqVN07dCB6PPnCQP+CWQBJ4BZGP+Z/wWjN9DJK58P44XGHsZcRpiCrV6Q\n7AWvexqNQgGwDegEJAN/U4pE4D/AUZOJmXPmcPKnn1i/cWODahzche5B1AH5+fk8++w0kha/T2FR\nEfkFRRSPS4bw62HN71Fb5rN88ULuvmcExNwC36WCFMOUM2AxJp99V43i4t4PkcfOgsUIauD3+V0E\n5O4mO8AX708/Qlks5N8ziqn9B5B+JIOP43sCYJo/B/93Z0NREbmjn0b6/AmO74GML2DWVjCbYdda\neGMsPDcL9cfJLHv7Le6+++66+spqDN2DcC8nTpxg+/btzHplJpu2buNeP3jfPhpTLOB5GMbEwrL/\nKpo1aU7B+bMM9rnE1jzItMGZS0Y81PYYMdTbAaeAKGC7gktKcV2xMAPYixFXvRAYAtwCpGA0GN2B\nSyHwXld49TDMPgQTzPA7+6x3pkC3fGO4ydOevAMC+L8ZM/D19eXGG28kLi4Ok6nhPkO7RdvVnbzA\n+Zj5C4Bsrgg3UAV7lydr6jurVq2SoOYtRZk9JSg4QpYuXSqnT58WzB7C+zZh0UVjkvjxTOF5EZ4X\n8WufICazh/BYTul+2f7tBkpSUpLc2Lu3KItFTJ6ecv/48VJQUCB/eu018bmtv3DkjDBzjqjQUCEw\nQIjtKwxJFPyail/TYPFv1018bh0pyttPTP5WaRTZRhYtWlTXX1GNgWv7QWhtV0BiYqK09DLLqShE\nYpAPQ5Bmfj7y/NRnJCsrS3wtnvLfTsYEd0FXJMoLGWBF/hGGtPJAwuwT2o/bJ6ybm5BJwcgokBSQ\nxiAvgHQA2WxPm0AagbwMYjUhizsju3ohIZ7GjnfpXsjPXshDZmOb1EBfX2keGCiPPPLIVUEBGzqO\ntF3V5EoDkQhMtR9Pw0E4Avu1m4F4Bz8iZ+1r4rtrEIRGtRUGThbmnxJ6jhKCWgsD/iGWbhMlvHWs\nTJj4mPhG3CAkvCee3Z+UFhHRcvbsWREx3qIqGyK8oKBABtx1t/g0Dxa/8AiJ7XqdBDRtLuaITmKK\n+JX4BATKrl275NNPP5WkpKRqRbdsiJTTQGhtu4npzz8njX28pXOTAAltFFS64C0nJ0esXhYpvu5/\nb0H1tSJLIhDpgmS0R3xA7gT5NUiQ/W2jf3dAmpmMUOIRICtAYkC+sTcQX4H4YoT48ABpbUEiLUiE\nJ+JnP+dtMkm7VuGyY8eOOv52ahZ3NBDVHmJSSqUDt4pItlIqBPi3iLQrJ28ksFJEOlXV/lrshjtL\ndnY2/e68i/Rv92INbMxDD/yG74//SFiLYKY9O4VGjRox729vsnrdRiLCQpnx0u9o3rx5ufcTEY4e\nPUpBQQHR0dHk5OSwfPlyioqKGDJkCBEREbVYu/qBo2641rZ7OXbsGKdOnSI2NhZ/f2OIVEToFtee\nYecPM6WpjdTzcPcR2NkWYr3BJhD5Ldwh0FzBYA/ofQlyu8OyHJh4xJifWAU8CzTDWIS3EqPbVgh4\neprxMpuxFRRQbDbz0JNTmDZtGh4eHqWRY69l6vQtJqXUzyLSyH6sgNMlnx3kjeTqH5FT9r+UH5Gm\nbiingdDargWOHTvG/XcPY8vuPYQ1a0pUTAyXdm/hfv8CVpyFby5Aohmu94BXCmB9MTzZArYWeZMb\n3oFRD07ghaefpqOHBzvz8ggJDqZRSAj+gYF0jOvA3SNG/qJX8rujgajp/SCcwlV7jaaq9OvXj5Mn\nTwLV3g/CKbS2yyc8PJyvtu0o/Wyz2fj7vHls3bKZ2KZNOfTxxzxzPAuPYhPX39iT348cyYnjmSSE\nt2L8+PF4e3vTp29f9u/fT3R0NHFxcXVYm2uTChsIEelX3jWlVLZSKkRETiqlQjFeNqgKTtvXh01V\nNNcGJZuq3HTTTYARrqHs0z9obdcVZrOZSZMnA5MBmPvXNyguLq7wTaKYmBhiYmJqqYT1m5rYMMiV\nIaZEIEdEXlNKPYfxpsZVm7vb80ZydTfcKftfejdcU7OUM8Skta1p8NT1HERjYCnQCmP/3ZEickYp\n1QJjr95B9nwfALcCTTCepF4SkYXl2Tvwo39EmhqjnAZCa1vT4NGhNjQaF9EL5TTXKjrUhkaj0Whq\nDN1AaDQajcYhuoHQaDQajUN0A6HRaDQah+gGQlMhJaERynLw4EF69+5NfHw8HTp0YOLEiaxZs4b4\n+Hji4+OxWq20a9eO+Ph4xo4dCxjbP5pMJg4ePFhtv84wfvx4unTpQufOnRkxYgQXLlwovfbEE08Q\nExND586dSUtLq9b9NdcGDU3XJTzxxBNXhdqvUV27GsypphO/gIBm9Rl/f/+rzvXv319SUlJKP+/d\nu/ey6717974qENrIkSPllltukenTp1fbrzOcO3eu9HjKlCny6quviojIZ599JgMHDhQRkc2bN0uP\nHj1ExD0BzaqbtLbrjoamaxGRbdu2yejRo8VqtZaeK0/XIu7Rtu5BaKrMyZMnL9sgvmPHjlflkTKv\nb54/f55NmzbxzjvvsGTJkir5+umnn+jZsyerVq1yKn/J05WIkJeXV7oKNzk5mQceeACAHj16cObM\nGbKzs6tUFs21TX3Wtc1mY+rUqSQmJl5WhpSUlBrVtW4gNFXmqaeeok+fPiQkJDB37lzOnj17VR4j\nRp1BcnIyAwcOJCYmhiZNmrBz504AsrKyGDRoULl+Tp06xeDBg5k5cyYDBw4kNze3tLtfNnXt2pX0\n9PRSu3HjxhEaGsqhQ4eYNGlSqa/w8PDSPGFhYWRmZrr8XWiuHeqzrufNm8fQoUMJCbk8NN7x48dr\nVtfV7Xrg+qYqLwOZQJo9DSjHvtpdMo3rlNclzsrKkgULFsjQoUOlXbt2kp+fX3rtyq74oEGDZO3a\ntSIi8vrrr8szzzxTqV+LxSIdO3aUjRs3VqvcNptNHn30UVm4cKGIiAwePFhSU1NLr99+++2yY8eO\nmtowSGu7ntOQdH38+HHp1auXFBUVSXFx8WVlL0/XInU/xPQcsFZE2gLr7J8dsRAY4OC8AH8WkXh7\nWu1CWVzC3QGu6tJPbdXl4MGDjBs3jhUrVuDh4cG3337rMN/p06fZsGEDEyZMICoqitmzZ7N06dJK\n7+/p6UlYWBirV/9PFrm5uXTp0sXh09aBAwcuszeZTNx7770sX74cgJYtW3Ls2LHS65mZmZcNJ1yB\n1nY981FbfmpD1926deOtt94qPVeZrnft2sXhw4eJjo6mdevW5OXl0bZtW6DKuq4yrjQQQ4Ak+3ES\nMMxRJhH5Gvi5nHvUSYiDK7mWBF4bPr744gvWrVsHGOO2OTk55Ypy2bJljBkzhqNHj5KRkcEPP/xA\nVFQUX3/9dYU+lFJ0796d9PR0EhMTAWN+YdeuXaSlpV2V2rdvD8Dhw4cBo2eckpJSen7IkCEsWrQI\ngM2bNxMUFERwcHB57rW265mP2vBTW7pesGABO3fudFrXCQkJnDhxgoyMDDIyMvD19eXQoUNAlXVd\nZSoM910JwSJSMhuSDVSnVJOUUmOA7cDT4iCgmaZuycvLu2yMc8qUKWRmZpKUlMTKlSsBmD17drk7\n2S1ZsoTnnrv8AXz48OEsWbKE6OhoJkyYwGeffXaVnVIKpRQffPABQ4YMISAggIcffrjCsooIY8eO\n5dy5c4gIXbp04c033wQgISGBzz//nOjoaPz8/Fi4cGFFt9Lavsapa10PHz6c9evXO6VrR/cooYq6\nrjJ1uWHQm8Dv7cczgTnA+CreQ1PD2Gw2h+etVutlexmUZcOGDaXH69evv+p6ycQx4PBHBHDu3Dle\nfvllLBbLZcNMFaGUIjU1tdzr8+bNKz2u4Q2DtLbrOXWpazD2vnBW1+Xdo4SyunY71Z28ANKBEPtx\nKJBeQd5IrpjIc/Y6xniuTjrVWNLa1ulaTa5OUrsyxJQCPAC8Zv93RVWMlVKhInLC/vEuYK+jfFJH\noZg1v2i0tjUa6nbDoEVAF4yWLgOYWGbcV6OpM7S2NRqDer9hkEaj0Wjqhnqxklop1VgptVYpdUgp\ntUYpFVROvgX2DeX3XnH+ZaVUplIqzZ6uejfdDT4qta+CjwFKqXSl1HdKqWnO1qM8uyvy/NV+fbdS\nKr4qtm7wcVQptcde9q3V9aGUaqeU+o9S6pJS6umqls9NfpyqSyX+a1zXbvJTp9quDV27wU+90Xat\n6trVSQx3JCARmGo/nga8Wk6+m4F4rl65Oh2YUsM+KrV3Mo8ZOIwxeekJ7ALaV1aPiuzK5EkAPrcf\n9wA2O2vrqg/75wygcSV/B2d8NAO6AX/AeEXUaVt3+HG2LvVB1w1d27Wh62tJ27Wt63rRg6B2Fia5\n6sMZe2fydAcOi8hRESkElgBDy1wvrx6V2V3mX0S2AEFKqRAnbV3xUXadQGV/h0p9iMiPIrIdKKxG\n+dzhx9m6VEZtLbhryNquDV274qe+abtWdV1fGgh3LUzarZR6t5zur6s+nLF3Jk9L4FiZz5n2cyWU\nV4/K7CrK08IJW1d9gDEp+6VSartS6rcO7u+sj/Koiq0rfsC5ulRGbejaHX7qUtu1oWtX/UD90Xat\n6tqV11yrhKqdRXdrgDuBu5RSx93sA7isHlZVvQVWFfmtaIGVs+V15anXVR+9RCRLKdUMWKuUSrc/\ntVbHhyOqYuvq2xc3iciJSupSm4tJjwD/vULX7vID1Jm2a0PXuMFPfdF2rei6hFprIESkX3nX7BNn\nISJyUikVivHKYFXuXZK/n1IqElgpIp3c6QMose9nt99QTR/HgfAyn8MxngLK1gOl1DvASmfsKsgT\nZs/j6YStKz6O28ufZf/3R6XUJxjd4SvF54yP8qiKrSt+EBBpAgEAAAFiSURBVPs6hkrqUlu6RinV\nBwe6docf6lbbtaFrV/zUN23Xiq5LqC9DTCULk6CaC5PKfCxvYZJLPpy0dybPdiBGKRWplLIA99rt\nKqtHuXZX+B9jv9cNwBn7sIAzti75UEr5KqWs9vN+QH8c/x2cLQtc/TRXFdtq+6lCXSqjNnTtsh8n\n7WtK27Wha5f81DNt166unZ3NrsmEEX//S66Iv48xxvhZmXwfAFlAPsY43Dj7+UXAHmA3hnCDa8CH\nQ/tq+hgIHMR4G+H5MucrrIcjO2AixkKskjzz7Nd3A10r8+mgDtXyAbTGeKNiF7DPFR8YwxzHgLMY\nk6o/AP5VqYcrfqpSl7rW9bWg7epqzt16aCjarq6PqtSjJOmFchqNRqNxSH0ZYtJoNBpNPUM3EBqN\nRqNxiG4gNBqNRuMQ3UBoNBqNxiG6gdBoNBqNQ3QDodFoNBqH6AZCo9FoNA7RDYRGo9FoHPL/RNsi\nvIG6J6AAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11ab1850>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for index, k in enumerate((10,20,30,40)):\n",
    "    plt.subplot(2,2,index+1)\n",
    "    trans_data = manifold.LocallyLinearEmbedding(n_neighbors = k, n_components = 2,\n",
    "                                method='ltsa').fit_transform(train_data)\n",
    "    plt.scatter(trans_data[:, 0], trans_data[:, 1], marker='o', c=colors)\n",
    "    plt.text(.99, .01, ('LSTA: k=%d' % (k)),\n",
    "                 transform=plt.gca().transAxes, size=10,\n",
    "                 horizontalalignment='right')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
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